Daughter of the Dragon

Directed by Lloyd Corrigan

Written by Lloyd Corrigan, Monte M. Katterjohn, Sidney Buchman

Cast: Anna May Wong as Pricess Ling Moy, Bramwell Fletcher as Dr. Petrie, Warner Oland as Fu Manchu

Released 1931

Princess Ling Moy is romantically involved with Ah Kee, a secret agent out to stop Fu Manchu. She had been sent to England by her father, Fu Manchu, to handle a sensitive matter and happened to choose to live next to Dr. Petrie.
[Note: according to Wikipedia: "The film was made to capitalize on Sax Rohmer's then current book, The Daughter of Fu Manchu, which Paramount (the studio) did not own the rights to adapt."]