You're welcome Kat.
Give yourself time to absorb all the sites and info that we have been throwing at you. It can be overwhelming .
Unfortunately, the church records in Hungary are in Hungarian/Magyar or Latin [Roman Catholic religion language]; In Austria too Latin or Austrian/German. Only in England and USA church records in English. I only know that LDS has filmed the church records. If they are not there than you would need to contact the Hungarian archive or the church for the records. Hope that helps.
Austria's phone book:
http://www.herold.at/telefonbuch/I did see some WALLI there.
Zlatica