After being hired to be one of the KUT evening Jazz hosts on 03/01/81, I created Texas Music (later re-named Texas Radio) in June of '81. It ran first on Friday or Saturday, then moved to 8 to midnight on Sunday. In fall of '84 I gave up the first hour of Texas Radio to make room for Liveset. TR has been running Sundays 9 to midnight since then. Texas Radio is the first program in Austin to feature Texas Music, and is the longest running Texas Music program in Texas.
Update to follow.