When a mysterious figure appears to cause a series of disruptions at the Frisbie Home in New York, word goes out to Scotland Yard that the Fuzz-Faced Phantom is at work. Soon, Charley MacNeesha and his assistant MacGregor are sent across the ocean to investigate.

Charley invents a machine that turns ordinary, breakable eggs into rubbery, unbreakable ones for transport. He builds a Rube Goldberg contraption of parts stolen from his neighbors. Rival egg companies want his invention, one of them stooping to sabotage to get it.

The Liars Club is holding their contest to see who can tell the most unbelievable story, with a gold medallion waiting to be awarded to the winner. Disappointed with the other members' bland efforts, one member brings in Charley Bowers, who has an extraordinary tale to tell. Charley claims to have invented a magic potion that enables him to grow absolutely anything by a simple grafting process, and he proceeds to tell his story to the club.