He played for Canterbury-Bankstown in the New South Wales Rugby League (NSWRL) competition.
Murphy made his first grade debut for Canterbury against Balmain at the Sydney Cricket Ground.
Due to the rules at the time, Canterbury were allowed to challenge for a rematch as they had finished as minor premiers.
Morrie scored a record 14 tries for the season which was not equalled until 1953 by Barry Stenhouse and then beaten by Chris Anderson in 1974.
Murphy went on to play in the country rugby league competitions in New South Wales.