Bedford played at inside right in the first match Doncaster Rovers played under that name, at Rawmarsh on 3 October 1879.[1] In a time where records of most lineups and scorers are unavailable, his first recorded goal was on 21 January 1882 in a 5–0 home victory in a friendly game against Frodingham, and then he scored both goals in a 2–0 home win against Sheffield Clarence on 15 March 1884.[1]
His last recorded appearance was in scoring in a 2–0 victory at Kilnhurst Church in a 2–0 win in front of a recorded crowd of 500.[1]
During his time with Rovers, the team played 57 matches over 6 seasons, and he is recorded as having scored 4 goals.[1]
He was elected as a committee member of the club for the 1882–83 season.[1]