When the henchmen shoot the cutout of Commissioner Gordon, there are obvious bullet holes in the cutout (obviously made by squibs). However, when it falls down, there are no bullet holes in the wall right behind it.
When Barbara first changes into Batgirl, her cowl has a chinstrap, but no chinstrap is evident when she's in costume.
Penguin kidnaps a minister (actually Alfred), intending to force him to officiate the wedding. However, in order for a marriage to be valid, the parties must first obtain a marriage license from the city government before the ceremony can take place.
Penguin plans to become immune to the law by becoming Commissioner Gordon's son-in-law. However, the police commissioner has no power to determine who will or will not be prosecuted, a matter in the purview of the district attorney. Indeed, if anything, the police commissioner's son-in-law would be under increased scrutiny.
After Penguin tells Barbara Gordon she will marry him or she has another option. Screen widens to show a life-size cutout of Commissioner Gordon at which time Penguin shoots the cutout several times. Unless all the apartments are completely sound-proofed, Commissioner Gordon, Chief O'Hara, Batman and Robin would have heard the shots because Penguin and party are in the next apartment.
Barbara Gordon is seen wearing a wristwatch (on left arm) when in her Batgirl costume in both of her crime-fighting scenes, without having any reason for it (she never looks at it or anything).
Yvonne Craig herself did once state in an interview that (whilst filming her first episode) she needed a watch to know the time to when she was working.
Yvonne Craig herself did once state in an interview that (whilst filming her first episode) she needed a watch to know the time to when she was working.
Alfred poses as the minister when Penguin's henchmen kidnap him. Yet, despite having crossed paths with him numerous times both at stately Wayne Manor and other locales, Penguin doesn't recognize him.
Barbara Gordon is employed as a librarian, yet, she has a fairly impressive multi-room apartment, complete with rotating wall, secret hideout, and access to a hidden motorcycle freight elevator.