Her parents, John Chancellor and Mary Joliffe, divorced in 1967. She, her two older sisters, and one older brother Edward are direct descendants of former Prime Minister Herbert Asquith.
She married cinematographer Nigel Willoughby in 1993. They got divorced in 1998. After her divorce, she met and dated Algerian cab driver Redha and has been with him since. She has a daughter Poppy with former partner poet Jock Scott, whom she met while attending drama school.
Anna: I look at people who have regular jobs and think that stability must be amazing. And, when you're acting, every emotion is under a magnifying glass, which can be painful. But who doesn't suffer in life?
Anna: I like acting, and it seems to me that a lot of the gorgeous ones, often it's not exactly acting they're asked to do. Often they're just asked to be gorgeous.
Anna: I'm usually the girl the audience doesn't want the hero to end up with. In some form or other, I'm usually the ugly sister. I'm never the innocent Cinderella type.