The Lady Is Willing (1942)
Bold, eccentric Broadway performer Lisa Madden befuddles her handlers by coming home with a baby she picked up on the street. She wants to keep the baby but has to find a husband to make adoption viable. Why not her new obstetrician Dr. McBain? She offers him help with his research on rabbits in exchange for marriage - and he accepts. The marriage of convenience turns into a marriage of real love. When Dr. McBain's ex-wife comes looking for money, Lisa suspects something and leaves New York. However, a serious illness with the baby brings them together again as McBain operates to try and save the baby's life.