Up to 1918 it was http://users.erols.com/mwhite28/austhung.htm
where 12 different languages were spoken. Do tell us the language of your ancestor as well as religion.
KUS^NIR in 1995 in Slovakia:http://slovniky.korpus.sk/?w=kusnir&c=g722
Her arrival manifest would have her place of birth.
If she married in USA than the church marriage record would have a place of birth. If she was naturalized citizen than the naturalization intent and petition will have her place of birth. If she had social security number than most likely parents names as well as her place of birth would be on her SS-5Form.
an ALL site for research in Slovakia www.iabsi.com/gen/public