Hi,
Im not sure, but my father says that our ancestors was from Ploske, it is small village near Kosice. There lived my father`s great grandparents Jan Dziak (John Dziak) and Maria (Mary) Dziak. They had 11 or 12 children. 10 went to america cca in 1870 - 1900. Only my father`s grandfather Matej Dziak and his sister Anna (Ann, which was dumb) stayed in Slovakia. Matej Dziak was married with Maria Merkovska and had 3 children : Andrej, Jan, Maria. Matej Dziak was the youngest children, so his brothers and sisters were born before 1888.
If anybody had some similar information about his/her ancestors, please let me know.