Eugenia Thomas Tennyson of Arkadelphia, Arkansas
I purchased this photo in a Flea Market in North Little Rock, Arkansas. It was taken at Atkins Studio in Arkadelphia, Arkansas. The name on the back is Eugenia Thomas.
This seems to match with Eugenia Thomas (b. 1883) who married Thomas Alfred Tennyson (1872-1946). She is the mother of Thomas Alfred Tennyson Jr. (1912-1989) and Charles Leroy Tennyson.
Her father appears to be L.L. Thomas born in Oct 1848 in North Carolina.