Don't blame the stork (1954)

When Sir George Redway, a famous actor, makes the public boast that he loves babies, a baby is promptly abandoned on his doorstep, and he is forced to take it in. Katie O'Connor, an actress who has auditioned unsuccessfully for a part in a production featuring Redway, pretends to be the child's mother in order to be near the actor. Complications develop involving Lillian Angel, Redway's fiancée, her admirer Captain Fluffy Faversham, and Katie's father, who suspects the worst of Sir George and his daughter. Eventually, the real mother of the baby returns to collect her child, all is resolved, and romance blossoms between Katie and Sir George.