I believe this is WW1, a (near) white gauzy handkerchief with Red Cross patch stitched along one edge, which would have been used by a nurse for all sorts of functions, and which to me embodies the very notion of bandaging in an essential and very iconic sort of way. I find it a very tender thing, and very beautiful both for its spareness and history of use.
20 7/8" x 15 1/4". General light stains/toning, all of a piece with it. Fabric is cotton cheesecloth weight.