After helping Austin High reach the state title game in 1950, Womack earned Class 4A all-state honors at halfback. He was also selected to the All-American team in 1951. His eight touchdowns against San Antonio Fox Tech that year remained the state’s highest single-game total in the large-school classes for almost five decades. He averaged 7.5 yards per carry during the 1950-51 seasons. Womack also led the Texas All-Stars to an 18-6 win over Oklahoma in the 1952 Oil Bowl, ripping off a 62-yard run that stood as the Oil Bowl record for 33 years. Womack went on to play at Texas from 1953-55, running for 1,064 yards, a 4.5 average and 13 TDs, and his 71-yard touchdown reception in 1954 stood as a UT running back record for more than 30 years until Eric Metcalf’s 80-yarder in 1985. He was drafted by the NFL‘s Philadelphia Eagles.