Denton Branch Falls. Clayton Georgia. Tate City Georgia. Denton Branch falls is located near Tate City GA. The drive to this old mining town descends through a gorge and passes many cascades and falls on the Tallulah River. One of the nicest drives in the state. Eight miles west of Clayton Georgia. Estimated Height: 35 Feet Hike Distance: 1/4 Mile. Check out page 24 of our North Georgia Guide for more information. Our North Georgia waterfall guide includes turn by turn directions to over 100 of the best waterfalls in Georgia.