SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13D

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 18)*

                               TREMONT CORPORATION
                                (Name of Issuer)

                          Common Stock, $1.00 par value
                         (Title of Class of Securities)

                                   894745 20 7
                                 (CUSIP Number)

                                STEVEN L. WATSON
                              THREE LINCOLN CENTRE
                                   SUITE 1700
                                5430 LBJ FREEWAY
                            DALLAS, TEXAS 75240-2694
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                               September 19, 2001
                      (Date of Event which requires Filing
                               of this Statement)

     If the filing  person has  previously  filed a statement on Schedule 13G to
report the  acquisition  that is the subject of this Schedule 13D, and is filing
this schedule  because of sections  240.13d-1(e),  240.13d-1(f) or 240.13d-1(g),
check the following box. [ ]

     *The  remainder  of this cover  page  shall be filled  out for a  reporting
person's  initial  filing on this  form with  respect  to the  subject  class of
securities,  and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

     The  information  required on the remainder of this cover page shall not be
deemed to be "filed"  for the purpose of Section 18 of the  Securities  Exchange
Act of 1934 ("Act") or otherwise  subject to the  liabilities of that section of
the Act but shall be subject to all other  provisions of the Act  (however,  see
the Notes).

                         (Continued on following pages)






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Tremont Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      OO

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,141,421
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,141,421

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,141,421

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO







CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Tremont Holdings, LLC

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,149,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,149,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,149,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      OO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      NL Industries, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      New Jersey

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,149,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,149,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,149,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Valhi, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC and BK

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Valhi Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Nevada

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      National City Lines, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      NOA, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Dixie Holding Company

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Dixie Rice Agricultural Corporation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Southwest Louisiana Land Company, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Contran Corporation

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Harold Simmons Foundation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      The Combined Master Retirement Trust

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not Applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      5,154,588

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      80.2%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      EP






CUSIP No.  894745 20 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Harold C. Simmons

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP(SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      USA

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     5,154,588
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                               5,154,588

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      -0-

    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [ X ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      0.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      IN






                                AMENDMENT NO. 18
                                 TO SCHEDULE 13D

     This amended  statement on Schedule 13D (this  "Statement")  relates to the
common stock, par value $1.00 per share (the "Shares"),  of Tremont Corporation,
a  Delaware  corporation  (the  "Company").  Items  2,  3, 4, 5, 6 and 7 of this
Statement are hereby amended as set forth below.

Item 2.  Identity and Background.

     Item 2 is amended as follows.

     (a) This Statement is filed (i) by Tremont  Group,  Inc.  ("TGI"),  Tremont
Holdings,  LLC ("TRE Holdings") and Valhi, Inc.  ("Valhi") as the direct holders
of Shares,  (ii) by virtue of the direct and indirect ownership of securities of
TGI, by TRE Holdings and Valhi,  NL Industries,  Inc ("NL"),  Valhi Group,  Inc.
("VGI"),  National  City Lines,  Inc.  ("National"),  NOA, Inc.  ("NOA"),  Dixie
Holding Company ("Dixie  Holding"),  Dixie Rice Agricultural  Corporation,  Inc.
("Dixie Rice"),  Southwest Louisiana Land Company, Inc.  ("Southwest"),  Contran
Corporation ("Contran"),  the Harold Simmons Foundation, Inc. (the "Foundation")
and the Combined Master Retirement Trust (the "CMRT") and (iii) by virtue of his
positions  with Contran and certain of the other  entities (as described in this
Statement),  by Harold C. Simmons  (collectively,  the "Reporting Persons").  By
signing this  Statement,  each  Reporting  Person agrees that this  Statement is
filed on its or his behalf.

     TGI, TRE Holdings and Valhi are the holders of  approximately  80.0%,  0.1%
and 0.1%, respectively,  of the 6,424,858 Shares outstanding as of July 31, 2001
according to the Company's  Quarterly  Report on Form 10-Q for the quarter ended
June 30, 2001 (the "Outstanding Shares").  Together, TGI, TRE Holdings and Valhi
may be deemed to control  the  Company.  Valhi and TRE  Holdings  are the direct
holders of 80.0% and 20.0%, respectively of the outstanding common stock of TGI.
Together  Valhi and TRE  Holdings  may be deemed to control  TGI. NL is the sole
member of TRE Holdings and may be deemed to control TRE Holdings.  Valhi and the
Company are the direct holders of approximately  60.9% and 20.6%,  respectively,
of the outstanding  common stock of NL and together may be deemed to control NL.
VGI, National,  Contran, the Foundation, the Contran Deferred Compensation Trust
No. 2 (the  "CDCT No. 2") and the CMRT are the  direct  holders of 81.7%,  9.5%,
2.1%, 0.5%, 0.4% and 0.1%, respectively, of the common stock of Valhi. Together,
VGI,  National  and Contran may be deemed to control  Valhi.  National,  NOA and
Dixie Holding are the direct holders of  approximately  73.3%,  11.4% and 15.3%,
respectively,  of the outstanding common stock of VGI. Together,  National,  NOA
and Dixie  Holding may be deemed to control VGI.  Contran and NOA are the direct
holders of  approximately  85.7% and  14.3%,  respectively,  of the  outstanding
common stock of National and together may be deemed to control National. Contran
and  Southwest  are  the  direct  holders  of  approximately  49.9%  and  50.1%,
respectively,  of the outstanding common stock of NOA and together may be deemed
to  control  NOA.  Dixie Rice is the  direct  holder of 100% of the  outstanding
common  stock of Dixie  Holding  and may be deemed  to  control  Dixie  Holding.
Contran is the holder of 100% of the outstanding  common stock of Dixie Rice and
may be deemed to control  Dixie  Rice.  Contran  is the holder of  approximately
88.9% of the outstanding  common stock of Southwest and may be deemed to control
Southwest.

     Substantially all of Contran's  outstanding  voting stock is held by trusts
established for the benefit of certain  children and  grandchildren of Harold C.
Simmons  (the  "Trusts"),  of which Mr.  Simmons  is the sole  trustee.  As sole
trustee of each of the Trusts,  Mr. Simmons has the power to vote and direct the
disposition  of the shares of  Contran  stock  held by each of the  Trusts.  Mr.
Simmons, however,  disclaims beneficial ownership of any shares of Contran stock
that the Trusts hold.

     The Foundation  directly holds  approximately 0.5% of the outstanding Valhi
common stock. The Foundation is a tax-exempt foundation organized for charitable
purposes.  Harold C.  Simmons is the  chairman of the board and chief  executive
officer of the Foundation and may be deemed to control the Foundation.

     The CDCT No. 2 directly holds  approximately  0.4% of the outstanding Valhi
common stock. U.S. Bank National  Association  serves as the trustee of the CDCT
No. 2. Contran  established  the CDCT No. 2 as an  irrevocable  "rabbi trust" to
assist Contran in meeting certain deferred compensation obligations that it owed
to Harold C. Simmons.  If the CDCT No. 2 assets are insufficient to satisfy such
obligations,  Contran is obligated to satisfy the balance of such obligations as
they come due.  Pursuant to the terms of the CDCT No. 2, Contran (i) retains the
power to vote the shares of Valhi common stock held  directly by the CDCT No. 2,
(ii)  retains  dispositive  power  over such  shares and (iii) may be deemed the
indirect beneficial owner of such shares.

     The CMRT directly holds approximately 0.1% of the outstanding shares of
Valhi common stock. Valhi established the CMRT as a trust to permit the
collective investment by master trusts that maintain the assets of certain
employee benefit plans Valhi and related companies adopt. Mr. Simmons is the
sole trustee of the CMRT and a member of the trust investment committee for the
CMRT. Mr. Simmons is a participant in one or more of the employee benefit plans
that invest through the CMRT.

     Valmont Insurance  Company  ("Valmont") and a subsidiary of NL directly own
1,000,000  shares and  1,186,200  shares,  respectively,  of Valhi common stock.
Valhi is the direct  holder of 100% of the  outstanding  common stock of Valmont
and may be deemed to control Valmont. Pursuant to Delaware law, Valhi treats the
shares of Valhi  common  stock  that  Valmont  and the  subsidiary  of NL own as
treasury  stock for voting  purposes and for the purposes of this  Statement are
not deemed outstanding.

     Mr. Harold C. Simmons is chairman of the board and chief executive  officer
of TGI, Valhi,  VGI,  National,  NOA, Dixie Holding,  Dixie Rice,  Southwest and
Contran.  Mr.  Simmons is also chairman of the board of NL and a director of the
Company.

     By virtue of the  holding  of the  offices,  the  stock  ownership  and his
service as trustee,  all as described  above,  (a) Mr.  Simmons may be deemed to
control the  entities  described  above and (b) Mr.  Simmons and certain of such
entities  may be deemed  to  possess  indirect  beneficial  ownership  of Shares
directly held by certain of such other entities.  However, Mr. Simmons disclaims
beneficial  ownership of the Shares beneficially owned,  directly or indirectly,
by any of such entities.

     Harold C.  Simmons'  spouse is the direct owner 69,475  shares of NL common
stock and 77,000  shares of Valhi  common  stock.  Mr.  Simmons may be deemed to
share indirect  beneficial  ownership of such shares.  Mr. Simmons disclaims all
such beneficial ownership.

     Certain information  concerning the directors and executive officers of the
Reporting  Persons,  including  offices  held by Mr.  Simmons  is set  forth  on
Schedule B attached hereto and incorporated herein by reference.

     (d)  None of the  Reporting  Persons  or,  to the  best  knowledge  of such
persons,  any of the  persons  named in  Schedule B to this  Statement  has been
convicted in a criminal  proceeding  in the past five years  (excluding  traffic
violations or similar misdemeanors).

     (e)  None of the  Reporting  Persons  or,  to the  best  knowledge  of such
persons,  any person  named in  Schedule B to this  Statement,  was a party to a
civil proceeding of a judicial or administrative body of competent  jurisdiction
as a result of which such  person was or is  subject  to a  judgment,  decree or
final  order  enjoining  future  violations  of,  or  prohibiting  or  mandating
activities subject to, federal or state securities laws or finding any violation
with respect to such laws.

     (f)  Harold C.  Simmons  and all the  persons  named on  Schedule B to this
Statement are citizens of the United  States,  except as otherwise  indicated on
such Schedule.

Item 3.  Source and Amount of Funds or Other Consideration.

     Item 3 is amended as follows.

     The Reporting  Persons  understand  that the funds  required by the persons
named in  Schedule B to this  Statement  to acquire  Shares  (other  than Shares
Harold C.  Simmons may be deemed to own  beneficially)  were from such  person's
personal funds.

Item 4.  Purpose of Transaction.

     Item 4 is amended as follows.

     On  September  19,  2001,  Valhi sent a letter to the Company and  Titanium
Metals  Corporation,  a subsidiary of the Company  ("TIMET"),  proposing to sell
each of Valhi's and the Company's  shares of NL common stock to TIMET for shares
of TIMET common  stock and TIMET debt  securities  on terms to be  appropriately
determined.  A  copy  of  the  letter  is  attached  hereto  as  Exhibit  10 and
incorporated  herein by reference.  On September 21, 2001,  Valhi issued a press
release  stating  that  Valhi  would not  approve  any  transaction  that may be
negotiated  with an independent  committee of TIMET's board of directors and its
advisors  without the affirmative  vote of a majority of the TIMET shares voting
that are held by persons  other than Valhi,  the  Company and their  affiliates.
There is no assurance that any transaction  will be consummated  under the terms
of the proposed offer or otherwise.

     Depending  upon their  evaluation of the Company's  business and prospects,
and upon future developments (including,  but not limited to, performance of the
Shares in the market,  availability  of funds,  alternative  uses of funds,  the
Reporting  Persons' tax planning  objectives and money, stock market and general
economic conditions), any of the Reporting Persons or other entities that may be
deemed to be affiliated with Contran may from time to time purchase Shares,  and
any of the  Reporting  Persons  or  other  entities  that  may be  deemed  to be
affiliated with Contran may from time to time dispose of all or a portion of the
Shares  held by such  person,  or  cease  buying  or  selling  Shares.  Any such
additional  purchases  or sales of the Shares may be in open market or privately
negotiated transactions or otherwise.

     As  described  under Item 2, Harold C.  Simmons,  through  Contran,  may be
deemed to control the Company.

     The information included in Item 6 of this Statement is incorporated herein
by reference.

     The Reporting Persons  understand that prior purchases of Shares by each of
the persons named in Schedule B to this Statement (other than Harold C. Simmons)
were made for the purpose of each such person's personal investment.

     Certain of the  persons  named in Schedule B to this  Statement,  namely J.
Landis Martin,  Harold C. Simmons,  Glenn R. Simmons,  Thomas P.  Stafford,  and
Steven L. Watson are directors or officers of the Company and may acquire Shares
from time to time pursuant to benefit  plans that the Company  sponsors or other
compensation arrangements with the Company.

     Except as described in this Item 4, none of the  Reporting  Persons nor, to
the best knowledge of such persons,  any other person named in Schedule B to the
this  Statement has  formulated  any plans or proposals  that relate to or would
result in any matter  required to be  disclosed  in response to  paragraphs  (a)
through (j) of Item 4 of Schedule 13D.

Item 5.  Interest in Securities of the Issuer.

     Item 5 is amended as follows.

     (a) TGI, TRE Holdings and Valhi are the  beneficial  owners of 5,141,421 of
the Shares (approximately 80.0% of the Outstanding Shares),  8,167 of the Shares
(approximately  0.1%  of  the  Outstanding  Shares)  and  5,000  of  the  Shares
(approximately 0.1% of the Outstanding Shares), respectively.

     By virtue of the relationships described under Item 2 of this Statement:

          (1) TRE Holdings and NL may each be deemed to be the beneficial  owner
     of the 5,149,588  Shares  (approximately  80.2% of the Outstanding  Shares)
     that TGI and TRE Holdings directly hold; and

          (2) Valhi, VGI, National,  NOA, Dixie Holding,  Dixie Rice, Southwest,
     Contran, the Foundation,  the CMRT and Harold C. Simmons may each be deemed
     to be the beneficial owner of the 5,154,588 Shares  (approximately 80.2% of
     the Outstanding Shares) that TGI, TRE Holdings and Valhi directly hold.

     Mr. Simmons disclaims beneficial ownership of all Shares.

     The  Reporting  Persons  understand,  based on  ownership  filings with the
Securities  and  Exchange  Commission  (the  "Commission")  or upon  information
provided  by the  persons  listed on  Schedule  B to this  Statement,  that such
persons may be deemed to own  beneficially the Shares as indicated on Schedule C
to this Statement.

     (b) By virtue of the relationships described in Item 2:

          (1) TGI may be  deemed  to share  the  power to vote  and  direct  the
     disposition of the Shares that TGI directly holds;

          (2) TRE  Holdings and NL may each be deemed to share the power to vote
     and direct the disposition of the Shares that TGI and TRE Holdings directly
     hold; and

          (3) Valhi, VGI, National,  NOA, Dixie Holding,  Dixie Rice, Southwest,
     Contran, the Foundation,  the CMRT and Harold C. Simmons may each be deemed
     to share the power to vote and direct the  disposition  of the Shares  that
     TGI, TRE Holdings and Valhi directly hold.

     (d) Each of TGI,  TRE  Holdings  and Valhi has the right to receive and the
power to direct the receipt of dividends  from,  and proceeds  from the sale of,
the 5,141,421, 8,167 and 5,000 Shares, respectively, held by such entity.

Item 6.  Contracts, Arrangements, Understandings or Relationships With Respect
to Securities of the Issuer.

     Item 6 is amended as follows.

     The information included in Item 4 of this Statement is hereby incorporated
herein by reference.

     Except for the provisions and agreements previously described in this item,
none of the Reporting  Persons or, to the best  knowledge of such  persons,  any
person  named in Schedule B to this  Statement  has any  contract,  arrangement,
understanding or relationship  (legal or otherwise) with any person with respect
to securities of the Company,  including, but not limited to, transfer or voting
of  any  such  securities,  finder's  fees,  joint  ventures,  loans  or  option
arrangements,  puts or calls,  guarantees  of  profits,  division  of profits or
losses, or the giving or withholding of proxies.

Item 7.  Material to be Filed as Exhibits.

     Item 7 is amended and restated as follows.

Exhibit 1      Credit  Agreement  dated as of  November  6, 1998 among  Valhi,
               Inc.,  the  financial  institutions  from time to time that are a
               party  thereto and Societe  Generale,  Southwest  Agency,  as the
               administrative agent, issuing bank and arranger  (incorporated by
               reference  to Exhibit 1 to  Amendment  No. 59 to the Schedule 13D
               filed on  November  23,  1999 with the  Securities  and  Exchange
               Commission by Tremont  Corporation,  Valmont  Insurance  Company,
               Valhi, Inc., Valhi Group,  Inc.,  National City Lines, Inc., NOA,
               Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation,
               Inc.,   Southwest   Louisiana   Land   Company,   Inc.,   Contran
               Corporation,  The Combined Master  Retirement  Trust,  the Harold
               Simmons  Foundation,  Inc.  and Harold C. Simmons with respect to
               the common stock,  par value $0.125 per share,  of NL Industries,
               Inc.).

Exhibit 2      First  Amendment  Agreement  dated as of November 5, 1999 among
               Valhi,  Inc., the financial  institutions  from time to time that
               are a party thereto and Societe  Generale,  Southwest  Agency, as
               the administrative agent, issuing bank and arranger (incorporated
               by reference to Exhibit 2 to Amendment No. 60 to the Schedule 13D
               filed on  December  14,  1999 with the  Securities  and  Exchange
               Commission by Tremont  Corporation,  Valmont  Insurance  Company,
               Valhi, Inc., Valhi Group,  Inc.,  National City Lines, Inc., NOA,
               Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation,
               Inc.,   Southwest   Louisiana   Land   Company,   Inc.,   Contran
               Corporation,  The Combined Master  Retirement  Trust,  the Harold
               Simmons  Foundation,  Inc.  and Harold C. Simmons with respect to
               the common stock,  par value $0.125 per share,  of NL Industries,
               Inc.).

Exhibit 3      Second  Amendment  Agreement dated as of November 3, 2000 among
               Valhi,  Inc., the financial  institutions  from time to time that
               are a party  thereto and U.S. Bank  National  Association  as the
               administrative agent, issuing bank and arranger  (incorporated by
               reference to Exhibit 3 to Amendment No. 15 to this Statement).

Exhibit 4      Form of Accession  Agreement dated as of December 1, 2000 among
               Valhi, Inc., the Banks and U.S. Bank National Association, as the
               administrative  agent of the banks,  and the  related  promissory
               note in the original  principal amount of $5.0 million payable to
               the order of Texas  Capital  Bank  (incorporated  by reference to
               Exhibit  4 to  Amendment  No.  63 to the  Schedule  13D  filed on
               September 25, 2001 with the Securities and Exchange Commission by
               Tremont Corporation,  Tremont Group, Inc., Tremont Holdings, LLC,
               Valhi, Inc., Valhi Group,  Inc.,  National City Lines, Inc., NOA,
               Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation,
               Inc.,   Southwest   Louisiana   Land   Company,   Inc.,   Contran
               Corporation,  The Combined Master  Retirement  Trust,  the Harold
               Simmons  Foundation,  Inc.  and Harold C. Simmons with respect to
               the common stock,  par value $0.125 per share,  of NL Industries,
               Inc.).

Exhibit 5      Stock Purchase  Agreement  dated as of November 7, 2000 between
               Valhi,  Inc. and J. Landis Martin  (incorporated  by reference to
               Exhibit 4 to Amendment No. 16 to this Statement).

Exhibit 6       Certificate   of   Incorporation   of  Tremont   Group,   Inc.
               (incorporated  by reference  to Exhibit 5 to Amendment  No. 17 to
               this Statement).

Exhibit 7      Voting  Agreement  dated as of December 31, 2000 between Valhi,
               Inc.  and Tremont  Holdings,  LLC  (incorporated  by reference to
               Exhibit 6 to Amendment No. 17 to this Statement).

Exhibit 8      Tax  Sharing  Purchase  Agreement  dated as of  January 1, 2001
               among Valhi,  Inc., Contran  Corporation and NL Industries,  Inc.
               (incorporated  by reference  to Exhibit 7 to Amendment  No. 17 to
               this Statement).

Exhibit 9      Tax  Sharing  Purchase  Agreement  dated as of  January 1, 2001
               among Valhi,  Inc., Contran  Corporation and Tremont  Corporation
               (incorporated  by reference  to Exhibit 8 to Amendment  No. 17 to
               this Statement).

Exhibit 10*    Letter dated September 19, 2001 from Valhi, Inc. to the board
               of  directors  of  Titanium   Metals   Corporation   and  Tremont
               Corporation.

----------

*        Filed herewith.





                                    Signature

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  September 26, 2001




                                                          /s/ Harold C. Simmons
                                                          ----------------------
                                                          Harold C. Simmons
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                    Signature

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  September 26, 2001




                                                          /s/ J. Landis Martin
                                                          ----------------------
                                                          J. Landis Martin
                                                          Signing in the
                                                          capacity listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                    Signature

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  September 26, 2001





                                                          /s/ Steven L. Watson
                                                          ----------------------
                                                          Steven L. Watson
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                   SCHEDULE A


HAROLD C. SIMMONS, in his individual capacity and as trustee for THE COMBINED
MASTER RETIREMENT TRUST.


J. LANDIS MARTIN, as president of each of:

NL INDUSTRIES, INC.
TREMONT HOLDINGS, LLC

STEVEN L. WATSON, as president or vice president of each of:

CONTRAN CORPORATION
DIXIE HOLDING COMPANY
DIXIE RICE AGRICULTURAL CORPORATION, INC.
HAROLD SIMMONS FOUNDATION, INC.
NATIONAL CITY LINES, INC.
NOA, INC.
SOUTHWEST LOUISIANA LAND COMPANY, INC.
TREMONT GROUP, INC.
VALHI GROUP, INC.
VALHI, INC.





                                   Schedule B

     Schedule B is hereby amended and restated as follows:

     The names of the directors and  executive  officers of Contran  Corporation
("Contran"),  Dixie Holding Company ("Dixie  Holding"),  Dixie Rice Agricultural
Corporation,  Inc.  ("Dixie  Rice"),  the Harold Simmons  Foundation,  Inc. (the
"Foundation"),  National City Lines,  Inc.  ("National"),  NL  Industries,  Inc.
("NL"), NOA, Inc. ("NOA"), Southwest Louisiana Land Company, Inc. ("Southwest"),
Tremont  Group,  Inc.  ("TGI"),  Valhi  Group,  Inc.  ("VGI")  and  Valhi,  Inc.
("Valhi"),  and their present principal  occupations are set forth below. Except
as otherwise  indicated,  each such person is a citizen of the United  States of
America and the business address of each such person is 5430 LBJ Freeway,  Suite
1700, Dallas, Texas 75240.
Name Present Principal Occupation ----------------------------- --------------------------------- Susan E. Alderton (1) Vice president, treasurer and chief financial officer of NL; and a director of Tremont Corporation (the "Company"). Eugene K. Anderson Vice president of Contran, Dixie Holding, Dixie Rice, NOA, National, Southwest, TGI, VGI and Valhi; and treasurer of the Foundation. Thomas E. Barry (2) Vice president for executive affairs at Southern Methodist University and professor of marketing in the Edwin L. Cox School of Business at Southern Methodist University; and a director of Valhi. Norman S. Edelcup (3) Senior vice president business development of Florida Savings Bancorp; director of Valhi; and trustee of the Baron Funds, a mutual fund group. Lisa Simmons Epstein Director and president of the Foundation. David B. Garten (4) Vice president, general counsel and secretary of NL; and vice president and secretary of Tremont Holdings, LLC ("TRE Holdings"). Edward J. Hardin (5) Partner of the law firm of Rogers & Hardin LLP; and a director of Valhi. Robert D. Hardy (4) Vice president and controller of NL and TRE Holdings. J. Mark Hollingsworth Vice president and general counsel of Contran, Dixie Holding, Dixie Rice, NOA, National, Southwest, TGI, VGI and Valhi; general counsel of the Foundation, CompX International Inc., a manufacturer of ergonomic computer support systems, precision ball bearing slides and security products that is affiliated with Valhi ("CompX"), and The Combined Master Retirement Trust, a trust Valhi established to permit the collective investment by master trusts that maintain the assets of certain employee benefit plans Valhi and related companies adopt (the "CMRT"); and acting general counsel of Keystone Consolidated Industries, Inc. ("Keystone"), a manufacturer of steel rod, wire and wire products that is affiliated with Contran. Keith A. Johnson Controller of the Foundation. William J. Lindquist Director and senior vice president of Contran, Dixie Holding, NOA, National, TGI and VGI; senior vice president of Dixie Rice, Southwest and Valhi. A. Andrew R. Louis Secretary of Contran, CompX, Dixie Holding, Dixie Rice, NOA, National, Southwest, TGI, VGI and Valhi. Kelly D. Luttmer Tax director of Contran, CompX, Dixie Holding, Dixie Rice, NOA, National, Southwest, TGI, VGI and Valhi. J. Landis Martin (6) President, chief executive officer and a director of NL; president of TRE Holdings; chairman of the board, president and chief executive officer of the Company and Titanium Metals Corporation, a producer of titanium metals products that is affiliated with the Company ("TIMET"). Andrew McCollam, Jr. (7) President and a director of Southwest; director of Dixie Rice; and a private investor. Harold M. Mire (8) Vice president of Dixie Rice and Southwest. Bobby D. O'Brien Vice president and treasurer of Contran, Dixie Holding, Dixie Rice, NOA, National, TGI, VGI and Valhi; and vice president of Southwest. Kenneth R. Peak (9) President, chief executive officer and chairman of the board of Contango Oil & Gas Company, a publicly traded independent oil and gas exploration and production company; and a director of NL. Glenn R. Simmons Vice chairman of the board of Contran, Dixie Holding, NOA, National, TGI, VGI and Valhi; chairman of the board of CompX and Keystone; director and executive vice president of Southwest and Dixie Rice; and a director of NL, TIMET and the Company. Harold C. Simmons Chairman of the board and chief executive officer of Contran, Dixie Holding, Dixie Rice, the Foundation, NOA, National, Southwest, TGI, VGI and Valhi; chairman of the board of NL; director of the Company; and trustee and member of the trust investment committee of the CMRT. Richard A. Smith (8) Director and president of Dixie Rice. Thomas P. Stafford (10) Co-founder of Stafford, Burke and Hecker, Inc., a consulting company; director of NL, TIMET and the Company; and a director of CMI Corporation and The Wackenhut Corp. Gregory M. Swalwell Vice president and controller of Contran, Dixie Holding, NOA, National, TGI, VGI and Valhi; and vice president of Dixie Rice and Southwest. J. Walter Tucker, Jr. (11) President, treasurer and a director of Tucker & Branham, Inc., a mortgage banking, insurance and real estate company; vice chairman of the board of Keystone; a director of Valhi; and a member of the trust investment committee of the CMRT. Steven L. Watson Director and president of Contran, Dixie Holding, NOA, National, TGI, VGI and Valhi; director and executive vice president of Dixie Rice and Southwest; director, vice president and secretary of the Foundation; and a director of the Company, NL and TIMET. Lawrence A. Wigdor (4) Director and executive vice president of NL.
---------- (1) The principal business address for Ms. Alderton is 70 East 55th Street, 8th Floor, New York, New York 10022. (2) The principal business address for Dr. Barry is Southern Methodist University, Perkins Administration Bldg. #224, Dallas, Texas 75275. (3) The principal business address for Mr. Edelcup is 8181 Southwest 117th Street, Pinecrest, Florida 33156. (4) The principal business address for Messrs. Garten, Hardy and Wigdor is Two Greenspoint Plaza, 16825 Northchase Drive, Suite 1200, Houston, Texas 77060. (5) The principal business address for Mr. Hardin is 229 Peachtree Street, N.E., Suite 2700, Atlanta, Georgia 30303. (6) The principal business address for Mr. Martin is 1999 Broadway, Suite 4300, Denver, Colorado 80202. (7) The principal business address for Mr. McCollam is 402 Canal Street, Houma, Louisiana 70360. (8) The principal business address for Messrs. Mire and Smith is 600 Pasquiere Street, Gueydan, Louisiana 70542-0010. (9) The principal business address for Mr. Peak is 3700 Buffalo Speedway, Suite 960, Houston, Texas 77098. (10) The principal business address for Gen. Stafford is 1006 Cameron Street, Alexandria, Virginia 22314. (11) The principal business address for Mr. Tucker is 400 E. Central Boulevard, Orlando, Florida 32801. SCHEDULE C Schedule C is hereby amended and restated as follows: Based upon ownership filings with the Commission or upon information provided by the persons listed on Schedule B to this Statement, such persons may be deemed to own personally and beneficially Shares, as outlined below:
Shares Options Name Held Held (1) Total -------------------------- ----------- ----------- ----------- Susan E. Alderton (2) 727 -0- 727 Eugene K. Anderson -0- -0- -0- Thomas E. Barry -0- -0- -0- Norman S. Edelcup -0- -0- -0- Lisa Simmons Epstein 298 -0- 298 David B. Garten 500 -0- 500 Edward J. Hardin -0- -0- -0- Robert D. Hardy 318 -0- 318 J. Mark Hollingsworth -0- -0- -0- Keith A. Johnson 100 -0- 100 William J. Lindquist -0- -0- -0- A. Andrew R. Louis -0- -0- -0- Kelly D. Luttmer -0- -0- -0- J. Landis Martin (3) 41,109 60,000 101,109 Andrew McCollam, Jr. -0- -0- -0- Harold M. Mire -0- -0- -0- Bobby D. O'Brien -0- -0- -0- Kenneth R. Peak -0- -0- -0- Glenn R. Simmons 19 -0- 19 Harold C. Simmons (4) -0- -0- -0- Richard A. Smith 30 -0- 30 Thomas P. Stafford -0- 4,000 4,000 Gregory M. Swalwell -0- -0- -0- J. Walter Tucker, Jr. (5) 1,125 -0- 1,125 Steven L. Watson 4,474 -0- 4,474 Lawrence A. Wigdor -0- -0- -0-
---------- (1) Represents Shares issuable pursuant to the exercise of stock options within 60 days of the date of this Statement. (2) Includes 11 Shares held by the trustee for the benefit of Ms. Alderton under the NL Industries, Inc. Retirement Savings Plan (the "NL Savings Plan"). (3) Includes 520 Shares held by the trustee for the benefit of Mr. Martin under the NL Savings Plan. (4) Mr. Simmons may also be deemed to possess indirect beneficial ownership of the Shares described in Item 5(a) of this Statement. Mr. Simmons disclaims beneficial ownership of all Shares. (5) Includes 525 Shares held by Statewide Guaranty Title Company of which Mr. Tucker owns 100% of the outstanding common stock. Exhibit Index Exhibit 1 Credit Agreement dated as of November 6, 1998 among Valhi, Inc., the financial institutions from time to time that are a party thereto and Societe Generale, Southwest Agency, as the administrative agent, issuing bank and arranger (incorporated by reference to Exhibit 1 to Amendment No. 59 to the Schedule 13D filed on November 23, 1999 with the Securities and Exchange Commission by Tremont Corporation, Valmont Insurance Company, Valhi, Inc., Valhi Group, Inc., National City Lines, Inc., NOA, Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation, Inc., Southwest Louisiana Land Company, Inc., Contran Corporation, The Combined Master Retirement Trust, the Harold Simmons Foundation, Inc. and Harold C. Simmons with respect to the common stock, par value $0.125 per share, of NL Industries, Inc.). Exhibit 2 First Amendment Agreement dated as of November 5, 1999 among Valhi, Inc., the financial institutions from time to time that are a party thereto and Societe Generale, Southwest Agency, as the administrative agent, issuing bank and arranger (incorporated by reference to Exhibit 2 to Amendment No. 60 to the Schedule 13D filed on December 14, 1999 with the Securities and Exchange Commission by Tremont Corporation, Valmont Insurance Company, Valhi, Inc., Valhi Group, Inc., National City Lines, Inc., NOA, Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation, Inc., Southwest Louisiana Land Company, Inc., Contran Corporation, The Combined Master Retirement Trust, the Harold Simmons Foundation, Inc. and Harold C. Simmons with respect to the common stock, par value $0.125 per share, of NL Industries, Inc.). Exhibit 3 Second Amendment Agreement dated as of November 3, 2000 among Valhi, Inc., the financial institutions from time to time that are a party thereto and U.S. Bank National Association as the administrative agent, issuing bank and arranger (incorporated by reference to Exhibit 3 to Amendment No. 15 to this Statement). Exhibit 4 Form of Accession Agreement dated as of December 1, 2000 among Valhi, Inc., the Banks and U.S. Bank National Association, as the administrative agent of the banks, and the related promissory note in the original principal amount of $5.0 million payable to the order of Texas Capital Bank (incorporated by reference to Exhibit 4 to Amendment No. 63 to the Schedule 13D filed on September 25, 2001 with the Securities and Exchange Commission by Tremont Corporation, Tremont Group, Inc., Tremont Holdings, LLC, Valhi, Inc., Valhi Group, Inc., National City Lines, Inc., NOA, Inc., Dixie Holding Company, Dixie Rice Agricultural Corporation, Inc., Southwest Louisiana Land Company, Inc., Contran Corporation, The Combined Master Retirement Trust, the Harold Simmons Foundation, Inc. and Harold C. Simmons with respect to the common stock, par value $0.125 per share, of NL Industries, Inc.). Exhibit 5 Stock Purchase Agreement dated as of November 7, 2000 between Valhi, Inc. and J. Landis Martin (incorporated by reference to Exhibit 4 to Amendment No. 16 to this Statement). Exhibit 6 Certificate of Incorporation of Tremont Group, Inc. (incorporated by reference to Exhibit 5 to Amendment No. 17 to this Statement). Exhibit 7 Voting Agreement dated as of December 31, 2000 between Valhi, Inc. and Tremont Holdings, LLC (incorporated by reference to Exhibit 6 to Amendment No. 17 to this Statement). Exhibit 8 Tax Sharing Purchase Agreement dated as of January 1, 2001 among Valhi, Inc., Contran Corporation and NL Industries, Inc. (incorporated by reference to Exhibit 7 to Amendment No. 17 to this Statement). Exhibit 9 Tax Sharing Purchase Agreement dated as of January 1, 2001 among Valhi, Inc., Contran Corporation and Tremont Corporation (incorporated by reference to Exhibit 8 to Amendment No. 17 to this Statement). Exhibit 10* Letter dated September 19, 2001 from Valhi, Inc. to the board of directors of Titanium Metals Corporation and Tremont Corporation. ---------- * Filed herewith.
                            [Valhi, Inc. Letterhead]

Steven L. Watson
President
(972) 450-4216

                               September 19, 2001

Board of Directors                                       Board of Directors
Titanium Metals Corporation                              Tremont Corporation
1999 Broadway                                            1999 Broadway
Suite 4300                                               Suite 4300
Denver, Colorado  80202                                  Denver, Colorado  80202

Ladies and Gentlemen:

     Valhi,  Inc. and Tremont  Corporation own 30,135,390  shares and 10,215,541
shares,  respectively,  of the common stock of NL Industries, Inc., representing
approximately 81.5% of the outstanding shares of NL.

     Valhi  believes  TIMET's  acquisition  of the NL  shares  held by Valhi and
Tremont in a  transaction  in which each NL share would be exchanged for 1.65 to
2.00 shares of newly-issued TIMET common stock plus TIMET debt securities in the
principal amount of $10.00 to $12.00, with terms to be appropriately determined,
would  provide  an  attractive  investment  opportunity  for TIMET at a fair and
reasonable price for all parties. Such an acquisition would, among other things,
(i) allow TIMET to diversify into an industry that  historically  would moderate
TIMET's  business  cycles,  (ii) provide a significant  and consistent  level of
profitability to offset TIMET's  inconsistent  financial results,  (iii) improve
access to capital  resources and markets as a result of a  significantly  larger
asset and capital  base,  (iv)  facilitate  future growth  through  expansion of
current operations and potential acquisitions,  (v) provide for opportunities to
achieve  administrative  cost  savings  and (vi) result in TIMET and NL becoming
members of the same consolidated tax group, which could provide  significant tax
benefits to TIMET.

     Your prompt consideration and response to this proposal is appreciated.

                                                     Sincerely,



                                                     Steven L. Watson, President