Througout 2012 the Irish genealogy website findmypast.ie has been digitizing and uploads records from the Irish Petty Sessions Courts. You can read about this here and here. In county Kilkenny there were two courts held very near Paulstown, one in Goresbridge and one in Gowran. The records from these courts are among those that have been put on the website.
Currently (June 2012) they have the following years:
Gowran 1865-67 and 1893-1910
Any Paulstown residents who had a minor skirmish with the law would more than likely have ended up in the dock at these courts. Other Petty Session court records from Kilkenny and Carlow are also on the website such as Castlecomer, Carlow Town and two from Kilkenny City. You can view these records, via subscription, here.