After winning the Irish Sweepstakes, an eccentric, formerly homeless woman named Cora moves in next door to Madame. When the snooty neighbors protest, Madame goes the Pygmalion route to teach Cora how to behave like a lady of means.
Sara Joy wants Madame to back the production of an esoteric play written by her untalented boyfriend from acting class; glamorous Eva Gabor guest stars on "Madame's Place," resulting in a fashionista duel between the two divas.
Madame's sergeant nephew Lamar is temporarily re-stationed in Los Angeles, where he commandeers the mansion and puts the family through rigorous basic training; Frankie Avalon guest stars on Madame's show, where he shares his secrets for staying youthful.
Believing the mansion is haunted, the household hires a local ghostbuster; Madame hosts comedian George Gobel on her show, and the two compete to see who has the worse memory.
Madame continues efforts to banish the ghosts of Groucho and Harpo Marx, whose practical jokes from beyond have the household up in arms; heartthrob John Schneider promotes his latest film and record album on Madame's show.
Two teenagers from the Brooklyn chapter of Madame's fan club steal their way into the mansion -- and then refuse to leave; comedian Marty Allen appears on Madame's show.