He carried a "heavy brown bag." Oswald gripped the bag in his right hand near the top. (page 131-133)
...no mention, has no meaning to you 'cause you're making the rest up.
Actually there is:
”and he carried it in his right hand, had the top sort of folded down and had a grip like this,
and the bottom, he carried it this way, you know, and it almost touched the ground as he carried it
Only you can envision him carrying the top and the bottom with the same hand.