POWER OF ATTORNEY

STATE OF TEXAS	     )(

				 	KNOW ALL MEN BY THESE PRESENTS:

COUNTY OF DALLAS  )(

THAT I, Richard Murray,  Vice President of United States Lime & Minerals,
Inc., a Texas corporation, hereby constitute and appoint Timothy W. Byrne
and M. Michael Owens as my true and lawful attorneys-in-fact and agents,
with full power of substitution and resubstitution, to sign for me and
in my name, place, and stead, in any and all capacities, any and all
forms required to be filed by me pursuant to Section 16(a) of the
Securities Exchange Act of 1934 and the rules promulgated thereunder and
any and all amendments to such forms and to file the same with the United
States Securities and Exchange Commission.  I further hereby ratify and
confirm any and all actions, matters, and things that such attorneys-in-
fact and agents shall lawfully do or cause to be done by virtue of this
Power of Attorney and the rights and powers granted herein.

	EXECUTED this 22nd day of April, 2003
						    / s / Richard Murray

STATE OF TEXAS          )(
COUNTY OF DALLAS   )(

	This instrument was acknowledged before me on the 22nd day of
April, 2003 by Richard Murray.

						/ s /  Nita Webb
						Notary Public
						State of Texas

						My Commission Expires:
						10/12/03