Hi,
My PaPa's name was Natale Liuzzi & he had a brother named Dominic Liuzzi my Father who was Frank Liuzzi had told me his Dad had 2 other Brothers. I don't know if this what you are looking for, but my Father's parents were born in Bari, Italy too. So I am thinking that Vito Liuzzi is my Great PaPa.
Hope to hear from you,
Lori Liuzzi