We might be able to knock down your brick wall if you would only give us some more information. Are you saying that your ancestors considered themselves to be Slovak? If yes, than your query is on a wrong board.
Since you mentioned Slovak, here is an ALL site for research in Slovakia.www.iabsi.com/gen/public
You might want to look in www.ellisislandrecords.org at LESZOs, LESO, and MOTYL.Family went to family in the beginning.