She attended Chichester College where she studied English and Drama, then trained at the National Youth Theatre, before appearing in repertory theatre.
Glaister first appeared in the title role in a stage production of Oliver Twist, alongside long-time friend Ben Elton's Artful Dodger. She made two appearances as "Bob" in the Blackadder series and played Patricia Farnham on Brookside. In 1983, she appeared onstage in Daisy Pulls It Off.
She has starred in several TV series, among them:
She has also played in several movies: