The Southwest Conference included Texas, Texas Tech, Texas A&M, Arkansas, SMU, TCU, Baylor and Rice. Rice students described the Southwest Conference as 4 state schools, 3 church schools and one university.
Houston… Houston was also part of the SWC and they had some really good teams in the 70s under Bill Yeoman. In fact, I saw them win the conference title a couple of times and go to the Cotton Bowl.