EXHIBIT 99.1

   1


                                  EXHIBIT 99.1


     AGREEMENT dated as of July 12, 1999, among Tweedy, Xxxxxx Company LLC, a
Delaware limited liability company ("TBC"), TBK Partners, L.P., a Delaware
limited partnership ("TBK"), and Vanderbilt Partners, L.P., a Delaware limited
partnership ("Vanderbilt").


                                   WITNESSETH:

     WHEREAS, TBC, TBK and Vanderbilt may be deemed to have acquired, in the
aggregate, beneficial ownership of more than five percent of the Common Stock
(the "Common Stock") of Tremont Corporation (the "Company") and

     WHEREAS, pursuant to Rule 13d-1 under the Securities Exchange Act of 1934
(the "Act"), a Statement on Schedule 13D must be filed by any person who
acquires more than five percent of registered equity securities; and

     WHEREAS, in accordance with Rule 13d-1(f) of the Act, only one such
Statement need be filed whenever two or more persons are required to file such a
Statement pursuant to Section 13(d) of the Act with respect to the same
securities, provided that said persons agree in writing that such Statement is
filed on behalf of each of them.

     NOW, THEREFORE, in consideration of the premises and mutual agreements
herein contained, the parties hereto agree as follows:

     TBC, TBK and Vanderbilt do hereby agree, in accordance with Rule 13d-1(f)
under the Act, to file one Statement on Schedule 13D relating to their ownership
of the Common Stock, and do hereby further agree that said Statement shall be
filed on behalf of each of them. Nothing herein, however, shall be, or shall be
deemed to be, an admission that the parties hereto, or any of them, are members
of a "group" (within the meaning of Section 13(d) of the Act and the rules and
regulations promulgated thereunder) with respect to any securities of the
Company.

     IN WITNESS WHEREOF, the parties have executed this Agreement as of the date
first above written.


TWEEDY, XXXXXX COMPANY LLC                      TBK PARTNERS, L.P.


By /s/ Xxxxxxxxxxx X. Xxxxx                     By /s/ Xxxxxxxxxxx X. Xxxxx
   -------------------------------------           -----------------------------
   Xxxxxxxxxxx X. Xxxxxx                           Xxxxxxxxxxx X. Xxxxxx
   Member                                          General Partner



VANDERBILT PARTNERS, L.P.


By /s/ Xxxxxxxxxxx X. Xxxxx
   -------------------------------------
   Xxxxxxxxxxx X. Xxxxxx
   General Partner