She trained at several schools including the National Youth Theatre and the Royal Academy of Dramatic Art. She has also been a professional astrologer since 1987. Although primarily a stage actor, Moran has appeared in films such as Three Weeks (1977), The Five Minute Films (1982) and The Woman in Black (1989), as well as in the television series The Cleopatras and The Good Soldier. From 1965 to about 1970, Moran played bass guitar in the all-girl band the She Trinity (aka British Maid in France).