The original snapshot is tiny, and quite scratched and torn. I've tried to clean it up a little, but it's still not a very clear image, I'm afraid.
Great-granny Palmer is the lady on the left, unregenerately smoking a cigarette and wearing a man's hat. The man whose hat she's wearing might have been the one taking the photo. It's a pretty good bet there was a man around, because she went through several husbands and one or two "friends" in her relatively short lifetime. She died of cancer in June 1936, at age 52.