Eric,
Go to
http://www.greenecountyassessor.org, click "Property Search", then click "Agree", and there you'll be able to search by name, address, tax ID, or even click on the map to find info on the particular property you need info on. You can't get the actual property tax amount there, but it's public information, and you can call the county collector to get that. The site is free 24/7. Let me know if there is anything else I can do to help.
-Paul