What happened to the Joseph that was on the 1910 Census? Tony Eleuteri's son? According to the tree, another was born in 1926?.. just different surname.
I do see Tony and his son living together in 1920.
Did you ever follow up on Joseph from the first marriage? Sometimes accessing NJ records can be difficult eh?
I do have an item of interest which confirms the address that's on the 1920 census record.
Look forward to your reply.