Yes, the word kapusta means cabbage in Slovak.
Up to 1918 it was A-H http://users.erols.com/mwhite28/austhung.htm
After the fall of A-H empire several new countries were formed and one was Czechoslovakia www.cgsi.org
which in 1993 separated into Czech Republic and Slovak Republic.
Have you locate a precise place of birth for KAPUSTA and DUDRA ancestor? What was language of your ancestors? If they put down on an US census Slovak/Slovakland than the research is in present Slovak Republic.
An ALL site for research in Slovakia:www.iabsi.com/gen/public
DUDRA, MALOVEC and KAPUSTA in SK's phone book: www.zoznamst.s
Few other sites for research:www.cisarik.comwww.tccweb.orgwww.iarelative.comwww.pavlovics.com
Found this DUDRA, Jakob Vasgyar, Hungary 17 1895 1912 arriving to America thru Ellis Island. www.ellisislandrecords.org