Jack Maylon Simpson (August 20, 1936 – June 3, 1983) was an American collegiate and Professional Football linebacker He played at the University of Mississippi and professionally in the American Football League for the Denver Broncos and the Oakland Raiders. He was drafted in 1958 by the NFL Washington Redskins, but did not play. He signed as a free agent with the AFL's Broncos in 1961. He was the defensive coordinator of the Houston Oilers in 1972