William Graham played defensive back for the Texas Longhorns from 1979 to 1981.
He played in seven games his rookie season, then fourteen (all but the first two, and all as a starter) in 1983 during which he recovered three fumbles as a free safety.
In 1984, he started 13 of 14 games (missing two in late October due to an injury), recorded his first career interception in a Thanksgiving victory over Green Bay in week 13, and two more interceptions off former Lions quarterback Greg Landry in a season-finale loss to the Chicago Bears.
He again recorded three interceptions (including two in a week-11 victory over the Minnesota Vikings) and his only career sack.
This biographical article relating to an American football defensive back born in the 1950s is a stub.