Dear Ms. Cavallary,
Thank you for posting your request on History Hub!
The New York State Archives has information on their website about Court Records in the State Archives and about Prisons & Inmates that might be relevant for your research. They also have an online Name Index Search that may be useful. We suggest that you contact city or county records offices where the arrest may have happened to see if they can offer any assistance. Plus, we suggest that you review the FamilySearch wiki for New York Court Records to learn more.
We hope this is helpful. Best of luck with your family research!