I'll go one further:
In 1951, the University of San Francisco fielded an undefeated team. According to the Wikipedia entry:
The 1951 University of San Francisco Dons football team is widely regarded by many to be one of the greatest, if not the greatest, college football teams to ever play the game. The 1951 squad went undefeated and the team boasted ten future NFL players, five future NFL Pro-Bowlers, and three future members of the NFL Hall of Fame -- a record for one college team. Even the future NFL Commissioner, Pete Rozelle, played a role as the Dons' Athletic Publicist. At the height of their success, the team experienced one of the greatest snubs in college football history. Due to the team having two African-American star players in Ollie Matson and Burl Toler (Toler went on to become the first African-American official in the NFL), they were not invited to play in any of the college football bowl games. The SEC (Southeastern Conference), in 1951, would not schedule teams with black players, and the Orange Bowl invited the USF squad to play, minus Toler and Matson. Players from that team that went on to play in the NFL include Ollie Matson, Gino Marchetti, Bob St. Clair, Dick Stanfel, Ed Brown, Lou Stephens, Burl Toler, Joe Scudero, Roy Barni, Mike Mergen, Merrill Peacock, and Ralph Thomas.
This was the last Division I team that USF fielded. The football team was disbanded after the season due to financial constraints.
I saw their story on Fox Sports not too long ago. This is the first I heard about UB's story. Grace and dignity carried the day.