The Geni.com website has two men named Julius FINESTONE. The one born in 1859 is listed as the son of Israel FINESTONE. The one born in 1858 is listed as the son of Meyer FINESTONE, which would make him a cousin of Israel FINESTONE. The two Juliuses have different wives and children.
Israel FINESTONE was my great grandfather. About 50 years ago, I learned the names of his children from my father and aunt. In repeated conversations and correspondence, they never mentioned an Uncle Julius. My guess is that there was only one Julius and that he was the son of Meyer. Possibly Julius married twice.