She trained at the
Guildhall School of Music and Drama, having previously worked as a dancer, making her professional debut aged 13 with the
Carl Rosa Opera Company. Her big break, however, came three years later when she played Mary Bewick in the television series
A House Called Bell Tower. From 1962 to 1963, she played Maggie Clifford in 63 episodes of the TV series
Compact. In 1966, she appeared in six episodes of
Foreign Affairs as Irinka. In 1968, she was a series regular in
Crime Buster. Between 1974 and 1978, Graham portrayed Assistant Governor Martha Parrish in all five series of the LWT prison drama
Within These Walls. She appeared three times in the series' original run (1978–80), and once in its 1988–90 revival. In 1984, she appeared as Ethel Ledbetter in 32 episodes of the series
One by One. In 1995 Graham began the role of Evgenia Estafis in ''
London's Burning'' for 27 episodes. ==Death==