This is likely a WPA school. I had misidentified it as being in Putnam County, but thanks to Connie Taylor Cason and Suzanne Smith Forte, I was able to correctly identify it. Suzanne notes that it was probably closed sometime in the 1930s.
Smithboro School, Jasper County
Vanishing Georgia: Photographs by Brian Brown 
The Piedmont School. Constructed in the 30s by WPA as part of the “Piedmont Homestead Project”.
http://themonticellonews.com/fdrs-piedmont-homesteads-project-p5624-116.htm
Jimmy, thank you so much. I will update this soon, with credit to you. I was just through there the other day and was glad to see it’s still hanging in there.
GA 212 and Smithboro Road near the Piedmont VFD.
Very neat. I have lived in Eatonton most of my life and have never seen this building. Im very interested in old schools and buildings of this type. If you have any more information I’d love to hear it. I’m still not sure where exactly this is.
Past Meriwether heading toward Eatonton. Can’t remember the name of the back road.
where is this?
Is this “Phoenix”? Went to school at Phienix for one year during middle 50s. Cannot remember how it looked.