SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13D

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 19)*

                               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 27, 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. 19 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 4 and 7 of this Statement are hereby amended as set forth below. Item 4. Purpose of Transaction. Item 4 is amended as follows. On September 19, 2001, Valhi, Inc., a Delaware corporation of which the Company is a majority owned subsidiary ("Valhi"), sent a letter to the Company and Titanium Metals Corporation, a Delaware corporation that is a 39% owned subsidiary of the Company ("TIMET"), proposing (the "Proposal") to sell each of Valhi's and the Company's shares of common stock of NL Industries, Inc., a New Jersey corporation that is a majority owned subsidiary of Valhi, to TIMET for shares of TIMET common stock and TIMET debt securities on terms to be appropriately determined. A copy of the September 19, 2001 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. On September 27, 2001, Valhi sent a letter to the Company and TIMET withdrawing the Proposal. A copy of the September 27, 2001 letter is attached hereto as Exhibit 11 and incorporated herein by reference. 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. 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 FirstAmendment 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 StockPurchase 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 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 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 (incorporated by reference to Exhibit 10 to Amendment No. 18 to this Statement). Exhibit 11* Letter dated September 27, 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: October 3, 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: October 3, 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: October 3, 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.

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 FirstAmendment 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 StockPurchase 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 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 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 (incorporated by reference to Exhibit 10 to Amendment No. 18 to this Statement). Exhibit 11* Letter dated September 27, 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 27, 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:

     On September 19, 2001, Valhi, Inc.  delivered a proposal to you whereby the
shares of the common  stock of NL  Industries,  Inc.  held by Valhi and  Tremont
would be transferred to TIMET in exchange for TIMET debt and equity securities.

     Valhi has concluded that assessing the business and financial  prospects of
NL and TIMET in the current  economic  environment  would be difficult,  thereby
impairing the respective  parties'  ability to properly and adequately value the
securities of both companies.  Therefore, Valhi hereby withdraws its proposal to
TIMET.

                                                     Sincerely,





                                                     Steven L. Watson, President