I love this photo. It shows Mom (on the left), her older sister Elizabeth, and Elizabeth's son Emory sitting at their feet. Mom and Elizabeth were very close, even though Elizabeth was some years older than Mom. Tootie will tell you how many.
Tootie, whose real name is Elizabeth and who now goes by Liz, was named after the Elizabeth in the picture, and Emory was named after Elizabeth and Mom's oldest brother. This is a practice that we still use in the family, with several kids and grandkids carrying the names of Mom's brothers and sisters.
In dating the picture, I'd have to do some very fancy guessing, but why not? I'm going to guess in the late 1920's. The hair styles and Mom's age seem to indicate that, along with Emory's age. If you look closely, you can see a hint of garter on Mom's left leg. Looking at the clothing, it's clear that they were dressed up for come occasion. The picture would have been taken at the Smith family home, possibly in Cutter, where Grandad had a ranch, and where Mom was born. Those hills in the background would have separated Cutter from Hot Springs.