 Davidson's brothers Bill and Ben both represented New Zealand at rugby league, and George himself played for the City and Maritime clubs in the Auckland Rugby League competition and represented Auckland between 1919 and 1922.George Davidson played for Maritime but after returning from the Antwerp Olympics he requested a transfer to join his brothers on the City Rovers team.Maritime opposed this but the Auckland Rugby League requested that they reconsider and during the 1922 season he was granted a transfer.