Craig's high school club initiation scavenger hunt includes a candelabra that Craig borrowed from Liberace. Lucy of course thinks it has been stolen and feels obliged to return it to the famous pianist. A cute song and dance segment follows as the whole family end up with Liberace at his home.
Lucy brags to Viv, who's visiting, that she knows Lawrence Welk personally, and then schemes to introduce her to the band leader, whom she has actually never met. She and Mary Jane then attempt to foot Vivian with a wax dummy, but the kids get the real Lawrence Welk instead.
Craig decides he wants to be a songwriter much to the dismay of doctor loving Lucy. Craig writes Country Magic. Ann-Margret likes Craig's new song, and wants to duet with him on her upcoming television special.
Lucy schemes to help change a father's image of his son. Wally Cox appears as the son of Alan Hale. Lucy & Wally guard a warehouse and are successful in foiling a real robbery and soaking Harry in the process.
While in Las Vegas, Lucy and family return a lost horse to singer Wayne Newton. While there they decide to take jobs as ranch hands to earn spending money so they can see some Las Vegas shows. Kim & Craig join Wayne doing equestrian stunts while Lucy & Harry get to do the branding and clean-up.
One night Kim, Craig and Lucy find an old diary belonging to Lucy's great-grandmother and see that Harry's side of the family has owed their side of the family $10 for 100 years, with interest! The total comes to an incredible amount (over $145,000) and so Harry let's Lucy become the boss of the Employment Agency.... until they find out that later on in the diary it says that Harry's side of the family paid back the $10.
Richard Burton, the movie star, escapes riotous fans by wearing a plumber's disguise. Lucy Carter mistakes him for a much needed plumber, and brings him back to the office to fix a sink. Lucy later finds a remarkable diamond ring in his discarded overalls. By the time Lucy discovers it is THE famous Elizabeth Taylor diamond ring, it is already stuck on her finger. The end result is a crescendo of comedy as Liz feverishly tries to get the ring off Lucy's finger. Ultimately, Lucy's arms are used as Liz Taylor's while Richard & Liz do a scheduled press party.
Lucy ends up hitting Sammy Davis Jr. while opening the door to the employment agency and it hits his nose which causes him to threaten to sue Harry and Lucy if his nose looks different for the movie he is filming.
When Lucy buys Craig a record player for his birthday it ends up not working right, so Lucy brings it back to the store but they won't accept it back which causes Lucy and other victims of the company's defective products to present their case in front of shareholders. Charles Nelson Reilly appears as the store employee who refuses the return. Some good physical comedy is done with the defective merchandise props.
Lucy has the winning bid on a painting at an auction and asks Vincent Price to appraise it for her. Lucy suspects it may have great value. Remembering that former client Vincent Price is a collector, Lucy calls on him for consultation. Vincent mistakes Lucy for an actress in his new horror movie and proceeds to rehearse a scene in his newly created evil laboratory.
Harry sends Lucy to Jack Benny's house where she writes down his biography. Important and significant events throughout his life like him as a child practicing violin to being in the navy to shows with Mary Livingston. George Burns makes a cameo appearance.
Lucy is chosen on an audience participation game show. The host, Art Linkletter, offers her $500 if she won't lose her temper for 24 hours. When she's escorted off the stage, the host then brings out Harry, Mary Jane, & the kids, offering them $250 each if they can make Lucy lose her temper! They do everything possible to make Lucy lose it, but she overcomes temptation. Lucy manages to demolish a grocery store!
Crooks move in next door to Lucy and the kids. Ma Parker, dangerous leader of a gang of 35 year old little people. After the cops nab Ma, Lucy poses as her to catch Joe Grapefruit the brains of a counterfeiting outfit.