Jane Broadbent (Sandra Dee) is an independent-minded teenager who moves to London to live with her aristocratic father, Jimmy (Rex Harrison), and stepmother, Sheila (Kay Kendall). Jimmy and Sheila insist that Jane attend a coming-out ball and try to marry into high society. However, Jane is uninterested in her potential suitors, including the stuck-up David Fenner (Peter Myers), and soon falls for David Parkson (John Saxon), an American drummer with a bad reputation.
