You're welcome.
Galicia is a historical region of present Poland and Ukraine that Austria ruled.
Galician is someone who was from that historical region and whose religion was Byzantine Catholic. You have location, which is the main thing needed for research. Church records in LDS-Mormons (Family History Center) site:
http://www.familysearch.org/eng/library/fhlcatalog/supermain...=
Up to 1918 it was A-H http://users.erols.com/mwhite28/austhung.htm After the breakup of A-H several new countries were formed and one was Czechoslovakia www.cgsi.org After WW2 Ruthenia went to Soviet Union now Ukraine. In 1993 Czechoslovakia separated into Czech Republic and Slovak Republic. Your research is in Slovak Republic.
An outline of Slovak Republic/Slovakia www.obce.info