married in USA or Poland? In any case, you need a place of birth to proceed with the research.
I take it the children were born in USA than their church baptismal record should have parents place of birth.www.rootsweb.com/~polwgw/index.htmlwww.polishroots.com
distribution of BURDA surname holders in Poland:http://www.moikrewni.pl/mapa/kompletny/burda.htmlhttp://www.moikrewni.pl/mapa/kompletny/burda.html
map of Poland's wojewodztwos:http://www.geneteka.genealodzy.pl/