I would like to propose a 3rd place that Oswald might have left his jacket:
The 2nd floor storage room adjacent to the conference room which one would have to enter by using the 2nd floor lunchroom.
I’m suggesting this as a more secure place than the 1st floor front staircase storage room.
Oswald has some items such as a bracelet, a ring, a billfold w/13$ cash (=$100 by current day) and his one and only ID card, and possibly keys to boarding house and room, and a key to Post office box?
Since Mrs Reid’s story is questionable at best , it may be discarded as “improbable”, therefore does not interfere with an Oswald returning to lunchroom to retrieve jacket scenario.
This leaves Baker/Truly and Geneva Hines stories
Geneva Hines MAY have been in the women’s bathroom, as her intention was to find a south side window for which reason she was banging on 2 different office doors. It is doubtful she gave up on this quest after failure at the 2nd office door and thus she went into the ladies room and was able to see out a south facing window, She could have been 2 minutes or more in that bathroom observing post assassination.
With Baker and Truly, one has 3 choices:
A. Baker//Truly saw Oswald in the front lobby at the front storage room, and B/T decided to become conspiratorial liars, moving the meeting of Oswald to 2nd floor lunchroom
B. Baker/Truly did not see Oswald at all or saw Oswald on some upper 3rd or 4th floor, and B/T decided to become conspiratorial liars and moved Oswald to 2nd floor lunchroom for some reason.
C. Baker and Truly actually DID see Oswald in the 2nd floor lunchroom approx 85-90 sec post shots, and the only error on their part was believing the WC theory that Oswald must have just come down the staircase. This option , Baker /Truly are Not conspirators, and are just reporting an observation.
IMO, option C. Is plausible again because Oswald may be PM and PM is returning into the TSBD some 10-12 seconds before Baker enters the lobby , primary reason being to get the jacket containing Oswalds valuable items from the more secure 2nd floor conference room storage room.
The timing of Oswald starting up the front staircase is approx 35 sec post shots which coincides well with Baker/Truly starting a trek from just inside the entrance door at 35sec post shots , to cross the lobby to the 2nd set of glass doors entering the front desk area by Truly’s office.
Oswalds travel time:
18 steps, a mid landing, an upper landing, and opening an immediate door = 20 secs
A 20 ft section of hall, then a 90 degree left turn to a 50ft length hall, then 90 degree right turn to 30 ft hall, then open door to enter vestibule, cross another 6-8ft and open the lunchroom door = 25 more seconds presuming pace approx 4-5 ft/sec.
This at approx 80-85 secs post shots Oswald is passing thru vestibule and opening lunchroom door just as Baker arrives to 2nd floor landing at the rear staircase.
Note 1: the passenger elevator could have been used by Oswald, which would make the meeting w/Baker/Truly in lunchroom NOT as plausible as Oswald would reach vestibule area 25 secs earlier than Baker arriving to 2nd floor landing
Note 2: the passenger elevator may have been on the 4th floor at the time or it was used by someone such as Mr. Williams who may have left his position just across from Pauline Sanders , BEFORE, Baker has ascended the front steps. Mr.Williams has no statement of seeing a police officer, which seems inconceivable if Me.Williams was literally standing in front of the door.
