Your family's names are just ambiguous enough that I was wondering. For genealogical purposes, it's important because (as helpful as George's answer was!) your family was unlikely to appear in many Catholic records.
This is the best site for Austrian Catholic Church records. It is organized by Diocese, and is free. https://data.matricula-online.eu/en/oesterreich/
Also joining GenTeam can be very helpful. There are numerous indexes and a gazetteer of the Austrian-Hungarian Empire. membership is required, but it is free. https://www.genteam.at/index.php?option=com_content&view=article&id=33&Itemid=47&lang=en