You might look at the following website, which talks about hot to get old court records:
https://ww2.nycourts.gov/foil/CourtRecords.shtml#:~:text=Typically%2C%20the%20court%20in%20which,the%20records%20are%20available%20there.
It sounds like a good first step would be to reach out to the County Clerk of Clinton County.
Also, you probably know this, but, in New York, the Supreme Court is trial court.
https://www.nycourts.gov/courts/cts-NYC-Supreme.shtml