Thanks again go to the nice folks at the Vintage Wilkes County group on Facebook for identifying this place. It was built in 1925 to replace the old Rehoboth Baptist Church, which was used as a school after the construction of the preset Rehoboth Church in 1903. It is presently a social hall for the church.
The old Sharon Ga. school is identical to this.
I didn’t think about that until your comment, but you are right.