Where is White Carniola? There was a Carniola, but White Carniola... never heard of this place. Perhaps you mean White Croatia, which is near the area of present day Poland and Ukriane?
GORSHE does NOT have the typical structure of a Ruthenian name.
Ruthenians were NOT settled in that region.
Ruthenians would not be Roman Catholic.
You seem to be relying soley on the info from the 1920 census, which is likely in error. Census records are often not very reliable.
As I believe I have pointed out in the past... Slovenian (Gorše): shortened form of the personal name Gregor, Latin Gregorius.Slovenian (Gorše): topographic name from a derivative of gora ‘mountain’, ‘hill planted with vines’, ‘wood in a hill country’ (see Gornik).
GORSE is a typical Slovenian name.
Once again the person listed as the owner of the GORSHA family web page is likely the person with the most knowledge of this surname, if you click on his name at the link below you can send him an email
http://www.angelfire.com/wa/gorsha/The first Ruthenians left Hornjice , in 1745 to Lower Hungary in the Backa (in present-day Vojvodina) and settled in Rus Krstur.
1763 they settled Kucura. The process of settlement lasted 50 years. This population remained for many years in this area. They built a church and school, because they came as a literate people, and they wanted to continue their education and religious life as they had in the old country.
Because of the high birth rate, Ruthenians from Krstur Kucura and moving to Srjem (which at that time was part of Croatia) and other places in the Slavonia region of Croatia. Ruthenians settled first in Croatia Petrovce 1831 and then Mikluševci around 1840. In the early 1900s they settled in Rajevo Village, and Piškorevci ANDRIJEVCI. Idustrialization after World Wars I and II found Ruthenians moving to larger cities. In Croatia, most to Vukovar, but also to Zagreb, Rijeka, Osijek and Vinkovci.
Robert