Career
Barmby began his career with Selby Town before joining York City as an amateur in March 1963. He made two appearances for the side and moved onto Goole Town in 1964, where he played until 1970 when the joined Scarborough. He finished his first season with the club as top scorer with 29 goals, and also was on two further occasions in the 1973-1974 (joint top scorer with Malcolm Leask) and 1974-1975 (31 goals).
He also made four appearances at Wembley Stadium with Scarborough in the finals of the FA Trophy, in 1973, 1975, 1976 and 1977, in three of which he was on the winning team
He scored 14 Hat-tricks, in his Scarborough career.