Original WWII women's Marine Corps (USMCWR) winter service hat. It is a marked a size 22 1/2, but it seems a little smaller than that (could probably be stretched out). It has the rare late war brown plastic EGA.
It is in decent, wearable shape. There is one small moth hole on the top between two seams. The underside of the brim has two moth holes. There is some wear on the sweatband. The scarlet cord shows a little wear. It has a slight mothball / attic / musty smell. No attempts have been made to clean it.
This hat originally came with a uniform that had been civilianized. The uniform is listed separately here.