The Fall River is coming in to the time I like fishing it the most, with Fall weather coming a lot of good fishing conditions come together on the little spring creek. Here are some things that are happening right now you can count on and a few things that are just getting a foothold but will be great in the next few weeks. 
Both PMD and BWO hatches are heavy hitters now. The absolute best way to match these 2 small mayfly hatches are to use a cripple like a KD Dun, or emergers like a Film Critic, Winger, Klink or Captive Dun. Combine with a 6x and you will do well, combine with a 7x tippet and you’re going to smash. 
Henryville Caddis and Olive Elk Hair Caddis both with trimmed hackles to sit more flush are good, I also really like a Missing Link Caddis on the Fall and right now I would use a Yellow or Olive #16, and add the Hot Orange bodied version too, especially in October. Midges, Ants, Beetles and Grasshoppers will be effective throughout the river as well. 
A lot of good nymph and streamer action with notable patterns like a Soccer Mom, Slum Lord and Mini Gulp, and nymphs like a Tungsten Egg, Zebra Midge, Micro Mayfly BWO, Perdigons, MOP and Rainbow Warrior. A Balanced Leech is also a good one to use under a strike indicator.