Career
Cockburn started his career at Rosehill before he moved to Stockport County F.C. He signed for Liverpool in 1924 and appeared 18 times during his debut season. He became a regular in the team the following season as he cemented a place in the Liverpool defence and only missed six of the 42 league matches during the season.
He only appeared 9 times the following season and he was transferred to Queens Park Rangers F.C. in 1928.