17 living Schneiders in the phonebook in Halbturn (of app 1800 people living in Halbturn) http://www.herold.at/telefonbuch/169FC_halbturn/schneider/
12 for Wallern http://www.herold.at/telefonbuch/1Ln8k_wallern-im-burgenland...
Wallern also has app 1800 inhabitants.
Common name (engl.: tailor). Have you tailors in your tree?
Did you see the tree of Georg on familysearch? Georg ID KH18-CQJ, his father Michael KHXL-1D8. If you go "down" from Michael you find siblings of Georg and their children ... .
Georg and his family were not the only ones, who emigrated. Did Georg also go to South Dakota?