Craghead, Co. Durham born inside forward Fred Graver began his career with The Burnhope Institute and joined Darlington in June 1920, moving to Shildon Athletic in August 1921. From there he joined Third Division (North) club Grimsby Town in May 1922, making his Football League debut against Wrexham that August, scoring in the return match at Wrexham a week later. However he soon lost his place and after a total of 7 appearances for The Mariners he joined non league West Stanley in May 1923.
He returned to League football with First Division club Leeds United in May 1924, making 3 appearances in the top flight for Leeds, all 3 appearances coming away from home, but could not establish himself at Elland Road. He then joined Southend United in May 1925, scoring twice in 12 appearances before he returned to the North East with non league Wallsend in 1926.
His sons, Andy and Alf, both played for Lincoln City after the Second World War, Andy was a prolific goalscorer and holds the Lincoln City aggregate League goal scoring record with 144 goals in three spells with the club. Andy also played for Leicester City, Newcastle United and Stoke City.