After dispatching Catwoman in an unseen battle, Batman and Robin return to the Batcave to revert to their mild-mannered roles of Bruce Wayne and Dick Grayson, in preparation of attending an opera this evening.
While arriving at her midtown apartment, after work from the Gotham City Library, Barbara is kidnapped by the Penguin while she is in the lift by being hooked up by his umbrellas.
Batman and Robin follow Alfred into the Penguin's hideout, where they meet Batgirl who helps them defeat the thugs.
She tells Alfred not to reveal to anyone, not even Batman and Robin, that she is Barbara Gordon; he initially seems reluctant but then promises.
The car, a 1968 Plymouth Barracuda Convertible with the name plate removed on the side, is what Bruce gives to Dick as a present for passing the road test and obtaining a driver's license.
Meanwhile, Commissioner Gordon and Chief O'Hara receive a threatening call from the Riddler, the villain appearing in next week's episode.