For what it's worth, Bob Carroll told the Warren Commission that he remembered (during the car ride from the theater to headquarters) two different names being mentioned when the wallet was removed from Oswald's back pocket. Also, Gerald Hill told the Commission that two names were read from the wallet (by Bentley) while in the car on the way to headquarters.
Bentley turned over the wallet (taken from Oswald while inside the car) to Lt. Baker who confirmed, in a 1999 interview with Dale Myers, that the wallet had identifications in two different names inside. The officers involved in the arrest were inside the office of Westbrook. This is where each filled out their reports, re: the arrest inside the theater. The wallet, Westbrook and Barrett were all three inside Westbrook's office at the same time, once they arrived at headquarters from the theater. Baker took the wallet to Fritz' office and described looking inside the wallet and seeing identifications inside in two different names and so he asked Oswald which one he was. Oswald finally stated that his name was Oswald. When Fritz arrived in his office, the wallet was given to Fritz.
C.T. Walker sat with Oswald inside Fritz' office before Fritz arrived. Walker told the Warren Commission that he recalled the wallet contained a photo identification in the name of Hidell.
Fritz kept the wallet in his possession until the next day when he sent it to the crime lab (Crime Scene Search Section of the Identification Bureau) in order to photograph the contents inside. The wallet was returned to Fritz where it stayed in a drawer in his desk along with other items.
Then, according to James Hosty, on Wednesday the 27th, the contents of the desk drawer were turned over to Hosty of the FBI. Hosty photographed the wallet and other items from the desk drawer before sending all of it to Washington.
As for Weidmann's question to me, re: Bardin... Bardin followed Davenport and the ambulance with Tippit to Methodist Hospital. At Methodist, Tippit's body was stripped of it's belongings. Bud Owens testified that Tippit's wallet, badge, handcuffs, wrist watch and other items were placed in a large paper envelope and turned over to Bardin to be taken to the property room of the Identification Bureau. This is all I know, re: Bardin and ANY wallet.