Up to 1918 it was http://users.erols.com/mwhite28/austhung.htm
where 12 different languages were spoken. Do you know language of your ancestors?
After the fall of A-H several new countries were formed and one Czechoslovakia [ full map www.cgsi.org
] [some changes to the map after WWll] In 1993 Czechoslovakia separated into Czech Republic and Slovak Republic.
You might want to go to the church where your ggrandmother was married. Do check into Elizabeth's SS-5Form [social security numbers] as that form would have her place of birth and parents names.
KOVACH is an americanized version of KOVAC^ -Slavic; KOVACS - Hungarian.