This photo is captioned "Nellie Brassfield & baby Clarence Brassfield & aunt Roses dog."
Nellie Belle (Bates) Brassfield's oldest son was Clarence Dixon Brassfield. She had an older sister known as Rose, (Rosa on some of the census documents) so that's who owned the dog. As to the date, Clarence was born January 7, 1895 and Floyd was born in 1898, so it was in that time period. Nellie was born in November 1873, so she was in her early 20's in this photo. Clarence was born in Sergeant Bluff, Woodbury County, Iowa, but this photo says "Brown & Silver Hawarden, Iowa" on the bottom border. Maybe that's where the photo was copied or reprinted rather than the original photographer.
Nellie (Bates) Brassfield was the mother of Floyd Gipson Brassfield. She is my 2nd Great Grandmother.