Did you see the entry in the Ellis Island database for Janos Chernko who is returning to Bethlehem, Pennsylvania in 1912? His birth year is c. 1872.(The name is actually written Chrenko on the manifest.)
Looks like he's escorting Maria Chrenko over. Her birthplace is "Hungary, Bosacz" and I think there are ditto marks under this for Janos' birthplace.
Maria's nearest relative (also named Janos Chrenko) lives in "Bosacz C. Trencsin." This would correspond with Bošáca in the Trenčín Region of western Slovakia.