All in a Night's Work (1961)

Colonel Ryder, the publisher of a magazine, dies while on vacation. Tony, his swinging nephew, inherits the magazine and takes over. The magazine is planning to expand, they need some capital, and Tony tries to arrange a loan through his friend. He is then informed by the detective of the hotel in which his uncle died that on the night of his death, a woman clad only in a towel came out of his room and fled before the detective could catch up with her. They suspect that the Colonel was "with" her on that night, because he was smiling when he died. Tony and two of his uncle's confidantes are worried that if the bank hears of this they will not get the loan, and the magazine's wholesome image could be tarnished also. So they ask the detective to stay around to identify her. What they don't know is that the woman is Katie Robbins, one of the magazine's researchers, and that she entered the room by "accident". After the detective has identified her and had a few misconceived conversations with her, they suspect that she is trying to extort them, and she thinks that Tony's a nut.