Baker already had drawn his gun in preparation to begin his ascent up the front staircase, erroneously presuming that staircase continued to the roof.
It’s at that point that Oswald was seen as Baker reaches the stairs and it was a reflex action with gun still in hand as Baker saw Oswald going “away “ from that front staircase TO the storage room.
Well maybe, and it has been suggested that the Darnell film shows Officer Baker's pistol already drawn as he runs towards the building entrance.
But! Given how soon after the assassination this was, Officer Baker can hardly have suspected Mr Oswald of involvement in shots fired from the top of the building. That would be even MORE absurd (which is saying something!) than Officer Baker singling out as suspicious a man behind a closed door on the second floor...........
There is a simple solution to this. IF Officer Baker already had his gun drawn as he entered the building, then Agent Bookhout's solo interrogation report may be telling us (with altered location) exactly what Mr Oswald said--------------------
...a police officer came into the room with pistol drawn and asked him if he worked there...'Do you work here?' in this context is not a suspicious question (how could it be?) but an urgent inquiry meaning 'Do you know where the nearest stairs are?'
In which case Mr Oswald was TWICE asked for directions in the immediate aftermath of the shooting: first from Officer Baker, then from Mr Pierce Allman.
IF this was in the lobby, then it must have been right by the glass doors----------otherwise Mr Lovelady, who was still on the steps, would not have seen it (and mentioned it to Mr Jarman).
Furthermore! If Officer Baker were anywhere near the front-of-house storage room, he wouldn't have needed anyone's help in finding the stairs............

That door you see is the door to the storage room!
