Oswald and woman at the theater

[Milo Reech]

Instead of a pillow perhaps she used a sack stuffed with a pair of trousers.

The more serious question is what transpired between them. After matching torn dollars did she tell him to stay put, then hasten to the rest room to betray his location to her contact?

I never put much stock in the official tale involving Brewer despite his Ruby connection via Olsen & Coleman. He may have had a role of sorts, but LHO's whereabouts were established by other means.