Paul's father was John Balzarini and he registered for the WWI draft in NYC. He was born in Italy and naturalized. I can't find an immigration record for him- he was born in 1874 and immigrated in 1895. He died sometime between 1917 and 1920, probably of the terrible influenza epidemic.
I think, but am not positive, that John's father was Frank Balzarini.
1910 census, Manhattan Ward 6, New York, New York John Balzarina 35 Rosie Balzarina 32 Paul Balzarina 10 Alfred Balzarina 8 Eva Balzarina 6 Ralph Balzarina 4 Arthur Balzarina 1 [1 1/12]
Index to Declaration of Intent for Naturalization: New York County, 1907-1924 about John Balzarini Name: John Balzarini Declaration Volume: 298 Declaration Page: 434
New York County Supreme Court Naturalization Petition Index, 1907-24 about John Balzarini Name: John Balzarini Address: 263 William St. Date: 8 Aug 1922 Volume #: 559 Page #: 20