Goober Takes a Car Apart - S5-E17
Factual error: How in the world did Goober lift that heavy motor out of the car?
Barney and the Cave Rescue - S4-E13
Plot hole: Andy and Helen go into the cave and there is a cave in. They find their way out and go into town to change, when they hear on the radio that Barney is getting the townsfolk together to form a rescue, Helen and Andy go back to the cave so barney can rescue them. This makes absolutely no sense. Once they get out of the cave why didn't they go back to tell Barney they were out, why did they have to flag down a truck for the ride back into town? Did they get to the cave with the squad car? It's hard to believe nobody saw them back in town, and how did they get to the cave?
Factual error: A town like Mayberry with a mayor and council would have its own police force, not just a sheriff.
Answer: In S3 x E11 Convicts-at-Large, there is a character named Big Maude Tyler, who is the leader of three female escaped convicts. Andy listens to the radio as the news announcer says that Big Maude's aliases include Clarice or Annabelle Tyler and also one amusingly named Ralph Henderson.
Super Grover ★