Andy, Opie, Barney, and Floyd are about the head home after a hard day of fishing when a car speeds by them on the highway. They all jump in the squad car in hot pursuit. A couple of miles down the road Andy pulls over the convertible sports car and discovers the car is being driven by a woman named Elizabeth Crowley.
Once Ms. Crowley realizes her feminine whiles will get her nowhere with Andy she lights into the Sheriff, accusing him of nabbing her in one those infamous rural speed traps. Andy hauls her off to jail and has Barney impound her car.
Ms. Crowley is locked up no more than a few minutes when she starts to charm her way into the good graces of the star witnesses against her, mainly Floyd, Barney, Mayor Pike, and even Opie. She even charms Aunt Bee! All the while, Andy remains suspicious of her motives and remains decidedly un-charmed.
A few days later, Ms. Crowley appears before Mayor Pike in Mayor's court and pleads her case. She explains that she was not speeding and that furthermore, Andy cannot prove that she was. One by one the witnesses against her recant their testimony. Realizing he's been beaten, Andy drops the charges. Before she leaves Andy makes sure she knows what she's done by turning old friends, his deputy, and his own son against him. Suddenly Floyd, Barney, and Opie realize they've been duped and want nothing more to do with Elizabeth Crowley. Ms. Crowley leaves the jail, triumphant and free, but feeling as low as a snake.
Andy and Barney see Ms. Crowley to her car. She climbs in, starts the engine, floor the accelerator and speeds out of town. A few miles down the road Andy pulls her over for the second time, not quite believing that she would have the gumption to start the whole mess all over again. However, this time Ms. Crowley happily agrees to pay whatever fine Andy imposes and apologizes for her behavior.