I Love Trouble (1948)

A wealthy man hires a detective (Franchot Tone) to investigate his wife's past. The detective discovers that the wife had been a dancer and left her hometown with an actor. The latter is killed before he can talk, but with help from a showgirl the detective learns that the wife had used stolen papers from a girl friend to enter college after she had stolen $40,000 from the nightclub where she worked. The detective eventually learns that the husband had killed his wife after he discovered her past in order to avoid a scandal, and had hired the detective to try to frame him for the killing.