If you look at the A in Alexander and the J in John, it looks more like a J to me, but I could certainly be wrong. It may be Eli, Alexander, William, Joseph, John, and Brantly (Brantby?) or it could be first and middle names for the sons. Eli Alexander, William Joseph, and John Brantly. In any case, it does not look as if this William and Mary Yates ever moved to Georgia and had children there.