Dorothy Hunter is orphaned by the Titanic and the wealthiest debutante in the world. So wealthy, in fact, that her whereabouts and appearance are a closely guarded secret. So secret that she uses her secretary Sylvia as a stand-in. After yet another abortive romance caused by the sheer magnitude of her wealth (If only you were the second richest girl, that would have been different, her ex explains), Dorothy aims to see if she can snag true love sans...

Cary Grant plays a successful New York advertising executive who wants to escape his current living situation. He decides to design his own dream house in the suburbs and the project turns wrong when the bills never end and the problems never stop.