I got out my PA map.Brownsville is in the southwest, not too far from Uniontown.I was not able to find Kaylor, but it seems to be further north, perhaps near New Castle.
As a matter of history, the country that is now Slovakia was once called Upper Hungary.Both they and Hungary proper were part of the Austo-Hungarian empire, which was broken up after WWI. So in our 1900 and 1910 Census, a Slovak could claim to be either from Austria or Hungary.On the census they would usually be listed as Hungary-Slovak or Austria-Slovak (sometimes Slovenian).Hungarians would usually be listed as Hungary-Magyar.This changed at least partly for 1920.Slovaks were then part of the new country of Czechoslovakia, and some of them claimed that as their birthplace.Some also continued with the older designations.The parts of my Mom's family I was exposed to were vehemently pro-Slovak and anti-Hungarian.They would get red in the face if anyone even mentioned Hungary.
I don't know where Nagy Raht is. But I would stick to my earlier suggestion of making a posting on the Slovak Forum (http://genforum.genealogy.com/slovak/).There are some very knowledgeable people there who could tell you whether it is in Hungary proper or Slovakland and where precisely.Also, how to locate the church records for the village if they are available at all.I've learned a bunch on that site.If the place you should appropriately be is the Hungary forum, they'll certainly send you there.
Another thing you could try searching is the Access Nwspaper Archive.I get to it through my county library system, and it may be possible for you as well.It has a large collection of scanned newspapers, many from the part of PA you're dealing with.There are little tricks to working with it, which you'll probably quickly pick up. It doesn't usually give you absolute answers or documents, but mostly normal local newspaper stuff. I would've never known otherwise that there was a member of my family tree that was on parole for being a chicken thief.