My husband's grandfather, John Lucas (Americanized version) was born in Zemplinska, Slovakia 24 Jun 1874, came over about 1896, and settled in Duryea, PA. He married Anna Tomascik in 1902. He died in Duryea in 1958. Although it seems obvious he is not one of your grandfather's brothers, perhaps he is related to your family. I have recently sent for their death certificates to see where they are buried.
Pat