The church in Jasliska does have all of the town's records but the preist is an "interesting" person to try to deal with. There's an entire controvercy in the town in regard to the priest, but I won't get into it for brevity's sake.
I tried to attach a couple of pictures (it obviously didn't work) of the church (with one of the preist) and photographs of some pages which mention "Lorenc"; one of them mentions my dad's birth, Jan Lorenc, in 1954. Of course, all of the records are in Latin. I have the images here on my website:http://homepage.mac.com/rix/rix/blog/B973512564/C2061895736/...
Here's a website guiding how to read the photographed pages:http://mywebpages.comcast.net/mdemkowicz1/dobra/dobrare1.htm...
I have many more pictures. If anyone would like me to send them please send me a message. I've been to Jasliska and to Poland several times, most recently last summer (2003).