I have been trying to track back my great grandfather John Gorsche, and one of the paths could connect with your Katarina Gorsche (b~1831)/Joseph Butalla(b~1828). I have your Katarina's father as Johann Gorsche (b~1795) and mother as Katharina Lukeschitz (b~1800). I have her sister as Ursula (b~1838)
My John Gorsche was born ~1844 (possible near Crnomelj), emigrated ~1866, and married a Barbara Thomas (Tomec) in 1883 and raised a large family in Shelby County, Iowa. I think my John Gorsche's father was John (Johann), but I haven't found the connection with this family. Do you have any evidence that your Butala great grandfather's wife Katarina had any brothers named John? My John Gorsche may also have had a brother named Michael.