As I recall, Baker describes Oswald wearing a jacket in the TSBD lunch room and then only moments later Mrs. Reid describes Oswald in just a white t-shirt w/o any jacket or outer shirt. I think you would drive yourself crazy drying to reconcile all the descriptions. It is not something anyone had cause to note at the time and recall later.
Bugliosi: Do you recall how he was dressed
Baker: No sir
Testimony Of Marrion L. Baker
http://mcadams.posc.mu.edu/russ/testimony/baker_m1.htmMr. BAKER - At that particular time I was looking at his face, and it seemed to me like he had a light brown jacket on and maybe some kind of white-looking shirt.
Anyway, as I noticed him walking away from me, it was kind of dim in there that particular day, and it was hanging out to his side.
Mr. BELIN - Handing you what has been marked as Commission Exhibit 150, would this appear to be anything that you have ever seen before?
Mr. BAKER - Yes, sir; I believe that is the shirt that he had on when he came. I wouldn't be sure of that. It seemed to me like that other shirt was a little bit darker than that whenever I saw him in the homicide office there.
Mr. BELIN - What about when you saw him in the School Book Depository Building, does this look familiar as anything he was wearing, if you know?
Mr. BAKER - I couldn't say whether that was--it seemed to me it was a light-colored brown but I couldn't say it was that or not.
Mr. DULLES - Lighter brown did you say, I am just asking what you said. I couldn't quite hear.
Mr. BAKER - Yes, sir; all I can remember it was in my recollection of it it was a light brown jacket.
Mr. BELIN - Are you referring to this Exhibit 150 as being similar to the jacket or similar to the shirt that you saw or, if not, similar to either one?
Mr. BAKER - Well, it would be similar in color to it--I assume it was a jacket, it was hanging out. Now, I was looking at his face and I wasn't really paying any attention. After Mr. Truly said he knew him, so I didn't pay any attention to him, so I just turned and went on.
Mr. BELIN - Now, you did see him later at the police station, is that correct?
Mr. BAKER - Yes, sir.
Mr. BELIN - Was he wearing anything that looked like Exhibit 150 at the police station?
Mr. BAKER - He did have a brown-type shirt on that was out.
Mr. BELIN - Did it appear to be similar to any clothing you had seen when you saw him at the School Book Depository Building?
Mr. BAKER - I could have mistaken it for a jacket, but to my recollection it was a little colored jacket, that is all I can say.