“No Man of Her Own” (1950) is based on Cornell Woolrich's mystery novel, I Married a Dead Man. The film has been re-made at least twice: “J'ai épousé une ombre” (1983) aka “I Married a Dead Man “ and “I Married a Shadow” with Nathalie Baye and Francis Huster, and “Mrs. Winterborne” (1996), a pleasant romantic comedy with Ricky Lake and Brendan Fraser. The 1950 version is generally reported to be the best.
The 1932 film “No Man of Her Own” with Clark Gable and Carole Lombard is an unrelated story.