According to "A Genealogical and Historical Record of the Vorce Family in America" by Charles Marvin Vorce, the father of Allen Vorce was Zebulon Vorce who was probably born in American about 1745. I will state what is in the book so you can determine if it is the same person.
Zebulon was twice married but the names of either wife were not known by the author. He had two sons with his first wife, Carey Vorce, abt 1773 and Oliver Allen Vorce, 1775, in Dutchess County. By his second wife he had James Vorce, date unknown and Allen Vorce, born March 1782 in Dutchess County. The book goes on to state that Allen Vorce married about 1803 at or near Scipio, Cayuga County, NY, Lois Dunning, born 1799, (daughter of Benjamin Dunning of Warren Conn.) He moved to Milo, NY in 1818 before the organization of the township and at the organization was elected a commissioner of schools and commissioner of highways. Most of his life was passed in central New York and the later years of it in Yates county. For many years he was a judge of the county court. In "Cleveland's History of Yates County" extensive mention of his family is made. Eight children were born to Allen and Lois Vorce.
The book goes on to state the names and additional information regarding the children. If you are interested, I would be glad to scan and e-mail this to you, rather than type it all here.
Zebulon's father was apparently also Zebulon, referred to as the French Nobleman who came from France to America and settled on Manhattan Island. He had a son Zebulon but where he was born and whether "Old Zebulon" as the father was called, had any other children is not known.
I hope this is helpful, from one Vorce descendant to another.