EXHIBIT 99(b)

            SECTION 906 CERTIFICATION BY THE CHIEF FINANCIAL OFFICER


     I, M. Michael Owens, Chief Financial Officer of United States Lime &
Minerals, Inc. (the "Company"), hereby certify that to my knowledge:


     (1)  The Company's periodic report on Form 10-Q for the quarterly period
          ended March 31, 2003 (the "Form 10-Q") fully complies with the
          requirements of Section 13(a) or 15(d) of the Securities Exchange Act
          of 1934, as amended; and


     (2)  The information contained in the Form 10-Q fairly presents, in all
          material respects, the financial condition and results of operations
          of the Company.




Dated:   May 8, 2003                         /s/ M. Michael Owens
                                             ----------------------------------
                                             M. Michael Owens