Webb married three times and does not have any children. She was married to the actor Alexander Balfour in London in early 1964, but this later ended in divorce. She then married the actor Tim Flavin in New York in April 1985 after a courtship of just two weeks but he had a number of affairs during their marriage which ended in divorce in 1986. She subsequently married sound engineer Tom Button, some two decades her junior, in New York in January 1992. The couple, who met working on a production of "Cats," separated some years later.