Whistling in the Dark (1941)
Whistling in the Dark is the first of three comedy films starring Red Skelton as Wally "the Fox" Benton, who writes and acts in radio murder mysteries. Wally is kidnapped by a greedy cult leader (played by Conrad Veidt), who threatens to kill Wally's girlfriend (portrayed in all three films by Ann Rutherford) and another young woman unless he concocts a perfect murder. The film was based on the Broadway play of the same name by Laurence Gross and Edward Childs Carpenter. Uncredited contributing writer Elliott Nugent wrote and directed the earlier film adaptation of the same name.
More at Wikipedia.