Jim Wormold is an expatriate Englishman living in pre-revolutionary Havana with his teenage daughter Milly. He owns a vacuum cleaner shop but isn't very successful so he accepts an offer from Hawthorne of the British Secret Service to recruit a network of agents in Cuba. Wormold hasn't got a clue where to start but when his friend Dr. Hasselbacher suggests that the best secrets are known to no one, he decides to manufacture a list of agents and provides fictional tales for the benefit of his masters in London. He is soon seen as the best agent in the Western Hemisphere but it all begins to unravel when the local police decode his cables and start rounding up his "network" and he learns that he is the target of a group out to kill him.

Will Hay, back in his role as a hapless teacher, is hired by a grim school in remotest Scotland. The school soon starts to be haunted by a legendary ghost, whose spectral bagpipes signal the death of one of the staff. Hay, assisted by Claude Hulbert and Charles Hawtrey, has to unravel the mystery before he becomes the next victim.

Mismatched travellers are stranded overnight at a lonely rural railway station. They soon learn of local superstition about a phantom train which is said to travel these parts at dead of night, carrying ghosts from a long-ago train wreck in the area. The travelers eventually get to the bottom of the things that go bump in the night. In between the scary bits, comedian Arthur Askey plays the gags with his Vaudeville style humor, to the constant irritation of his fellow passengers.