There is a Bankos family in Buffalo, NY in the 1910 census:
Janos age 30, married once for 9 yrs, emigrated 1904
Barbala age 28, married once for 9 yrs, no emigration info
Janos age 8, Mary age 7, Frank age 4, Eleanor age 2, all born Austria-Hungary; Katie age 1 month, born New York.
If this is the correct family, Borbala and the kids emigrated on the "Pannonia", arriving in NY 25 Jun 1909:http://www.ellisisland.org/search/shipManifest.asp?MID=12873...