They are mostly Devonian rocks deposited in the distal oceans in front of the Acadian Orogenic Belt...
https://opengeology.org/historicalgeology/case-studies/acadian-orogeny/
Here is a good image and some relevant information if you are interested...
https://www.museumoftheearth.org/ny-rocks/devonian-geology
a long, long period of time
about 380 Million Years :)
RE: Hiking at the Watkins Glen State Park, USA