Agers Falls Recreational Area: Easy short walk to the Main Falls and additional .4-mile roundtrip to the Lower Falls. If you were to continue further downstream on the trail, you would end up at Powerline Falls and Shurform Falls. https://bobbieswaterfalls.com/bobbieswaterfalls-waterfalls-of-new-york-state-and-beyond/waterfalls-of-the-northern-region-of-new-york-state/lewis-county-new-york-state-waterfalls/agers-falls/
On this end of the Moose River hiking trail, when you get to the river, the area is called Powerline Falls. Continue following the trail upstream and you will come to Shurform Falls. This trail does take you all the way up to Agers Falls.
Here on the Moose River is
Double Drop Falls, Roadside or .6-mile roundtrip to base of falls 10'/10'
Knifes Edge Falls aka Sliding Rock 2-10' drops on right, 1-15' drop on left
Lyonsdale Falls 20' roadside views
T-Bone Falls. roadside views 20'
They are listed as Rapids by the whitewater community.