Westbrook testified that he returned directly to the police station after Oswald was arrested in the theater (he didn’t arrive in his own car). So Barret’s account of Westbrook flipping through the wallet and asking him if he knew Hidell or Oswald couldn’t have happened at 10th and Patton.
Mr. BALL. Now, what did you do after that [arrest at theater]?
Mr. WESTBROOK. I went back to the city hall and resumed my desk.
This doesn't make any sense. Westbrook was at the Tippit scene before he went to the Texas Theater. So, if Barrett was indeed asked, by Westbrook, if he knew Hidell or Oswald it would have been before the arrest and it would have to involve another wallet than the one that was taken from Oswald in the car by Bentley.
But there is more to this story!
After Bentley took Oswald's wallet, he did not mention Hidell at all, which is strange because Gerald Hill testified that he told Bentley to grab the suspect's wallet for the purpose of identification. During a television interview Bentley was asked about the content of the wallet and he basically said there were only items in it that one would expect. I believe he mentioned a driver's license and a credit car, which by itself is strange. Also, there isn't any contemporary report by any of the officers in the car with Oswald that mentions finding a Hidell ID. Only during his WC testimony did Gerald Hill, who was sitting with Bentley (who was never asked to testify) on either side of Oswald on the rear seat of the car - say something like that he vaguely remembered hearing the name Hidell.
When Bentley arrived at the police station with Oswald, he was instantly taken to the hospital because of an injury to his leg. There isn't a single person in the police station that we know of, who confirmed or could confirm what happened to the wallet that Bentley took from Oswald. And this is where it gets complicated, because soon after Oswald was brought into the station, Gus Rose arrived after having been called in. He was the first DPD officer to speak to Oswald and just before that conversation took place an unidentified officer gave Rose a wallet and said it belonged to the suspect. And guess what, in that wallet there were two ID's, one for Oswald and one for Hidell.
So what's a possible explanation for this confusion? Could it be that Westbrook, after being present at Oswald's arrest, returned to the police station and told this unidentified officer to give the wallet that was found at the Tippit scene to Detective Rose? Obviously, in this scenario, the wallet Bentley took from Oswald would have to disappear and Bentley could never testify.
I believe it is possible that this is way the wallet with the Hidell ID was introduced as evidence, but if somebody can give be a better explanation or - even better - a solid chain of custody for the Bentley wallet, I'll gladly reconsider my opinion.