Is a nearly scene-for-scene remake of the film Qui a tué Vicky Lynn? (1941) with Victor Mature and Betty Grable.
In another reference to the movie Laura, this film opens with a view of Vicki's portrait, which looks eerily like Laura's portrait--same pose, same dress--as if Gene Tierney's head was replaced by Jean Peters' head.
It's notable to see TV's "Paladin" (of the TV series Have Gun - Will Travel (1957)), Richard Boone, acting with radio's Paladin, John Dehner (Chief Donald).
The song "Vicki" for the movie was written by Max Showalter, who also appeared in the film as Casey Adams, and Ken Darby
The two leads are watching the movie Laura (1944) in the theater. Although this movie is a remake of Qui a tué Vicky Lynn? (1941), it shares similar traits with 'Laura' being named after a beautiful woman whose portrait is seen in the opening credits, and who winds up either dead or presumed dead. Also, both movies have a cop in love with both Vicki and Laura, and they wind up interrogating her male friends, all culprits.