The Angels are hired by Barbara Stone and her sister, Jane, to track down John Thornwood. He has swindled them out of $100,000 by promising to marry Jane and persuading her to invest money in a phony South American oil exploration venture. The Angels track Thornwood to an apartment complex. Kris, posing as a confidence artist, rents the apartment next to his. Bosley poses as a Texan from whom she has swindled $50,000. Kris and Thornwood become friends, and he confesses to her that he has another scheme going. Kelly and Julie follow Thornwood to a museum owned by plain-looking Monica Thackery. Thornwood is posing as Professor Thornwood and has asked the smitten Monica to marry him and deposit $150,000 to an account supposedly for importing some pieces of art. Charlie, Bosley and the Angels find that Monica is the daughter of an eastern syndicate head, Joe Fenell. Thornwood is planning a phony marriage ceremony with Monica and then to withdraw the money and run. The Angels trick Thornwood into a real marriage with Monica because she is so much in love with him. They figure that her father will keep Thornwood in line. Thornwood, finding that he has been tricked, tries to escape, but is caught by Joe Fenell and his henchmen. Fenell warns him to be good to Monica or else. Thornwood knows that he has to stick with Monica and be a good husband...or else.