He was the head coach of the Peoria Cats, a National Industrial Basketball League (NIBL) team, located in Peoria, Illinois, and the head coach of the 1952 United States men's Olympic basketball team.

He was a guard on the school's basketball team that reached the quarterfinals of the AAU National Tournament in Denver, Colorado, in 1948.

With the Cats, he won 296 games and lost 126, while leading his teams to the National Amateur Athletic Union Tournament championship five times.

He coached the Cats team that tied with the Bartlesville Phillips 66ers, for the most wins in the National Industrial Basketball League (14–10 overall record), in 1954.

Womble also coached the USA national team that won the gold medal at the 1954 FIBA World Championship.