Hi Domenic,
Welcome to the forum. You're rightf. This is a wonderful site with many helpful people always willing to help & with great resources.
Just to get you started, below is link to Ellis Island records. This is a free site. All you have to do is register to view.
http://www.ellisisland.org/default.asp
At this site, I found a record for Domenico Bellomo, age 27 arrived 3/22/1910, married, last residence Bari, port of departure: Napoli. Wife's name Caterina (M or W airutuo???????).
Could this be your gg father??????
The more info you can provide, the more this forum can help. Where did he settle? If you don't have access to census records, people here will post images of the census records, but need to know location.
Do you have death certificate for your gg parents? Can be very helpful in providing comune in Italy where you can trace your family further back.
Hope this helps.
jcsm
Researching in San Vitaliano, Napoli, Italy & Armento, Potenza, Italy.