Eve was born in London, England, the daughter of actors Trevor Eve and Sharon Maughan. She has two younger brothers, Jack and George, and was raised in the United Kingdom and Los Angeles, United States. She attended Bedales School and then took her A-Levels at Westminster School in London. During her gap year, she studied at the Beverly Hills Playhouse and then read English at St Catherine's College, Oxford. While at Oxford she appeared in student productions of An Ideal Husband, Animal Crackers (which toured to the Edinburgh Fringe Festival), Scenes from an Execution and The Colour of Justice.
Eve has starred in television dramas including the BBC's The Rotters' Club, Poirot and Hawking, as well as the film Stage Beauty (2004).
Eve played significant roles in two 2006 films: Starter for 10 and Big Nothing (with both she and co-star Simon Pegg using American accents). She spent the early part of 2006 in India working on a drama mini-series Losing Gemma about backpackers.
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