In 1956, she won the Australian Championships Girls' Singles title.
Coghlan teamed with Bob Howe to win the mixed doubles title at Wimbledon in 1958.
Coghlan and Howe were also the runners-up in mixed doubles at the 1958 French Championships.
At the Australian Championships, Coghlan was the singles runner-up in 1958, losing to Angela Mortimer 6–3, 6–4, and was a four-time runner-up in women's doubles, in 1958, 1959, 1960, and 1967.Coghlan married John Robinson on 19 December 1959.