Have you found an immigration record from 1902 for him or are you basing the immigration year from information on the 1910 census? Based on the birth years and birth places for the children, his immigration year would have to have been earlier. Also find it interesting that the oldest son was born in Rhode Island.
I see from some of the kids birth records of George Guster and Antoinette Dogten(name spelled right??) on familysearch.org the lived in Niles, Trumbull, Ohio. Did George die in Trumbull county? IF he did have you tryed to get a death record for more info on his place of birth in Italy might be listed on the record.
We have already conducted an in-person search of the Trumbull County records (which are not in a very good condition) without much success. Another search that is more focused (using, for example, the record reference numbers from familysearch.org) may yield different results.
I agree that the immigration records may not have the correct date of immigration, but not because of the oldest child.
The 1910 census does include a child born in Rhode Island. From what we have discovered so far, Gusto/Guster was the second husband of Delia Russo (Ross), also from Italy. We believe she arrived on May 9, 1891 aboard the Neustria out of Naples and Palermo (a ship that was later lost at sea with all aboard). She may have been 16-years old at the time (putting her birth year at 1875 or so).
I've been trying to locate ANY other records on the family for possible clues, but other than the 1910 census and the birth record Marty referenced I've found nothing. Have you located any other records? Anything might help further our search.
"There are only two lasting bequests we can give our children - one is roots, and the other, wings." -- Hodding S. Carter
"You live as long as you are remembered." -- Russian proverb
Name: Delia Larry Home in 1920: Canton Ward 4, Stark, Ohio Age: 40 Estimated Birth Year: abt 1880 Birthplace: Italy Relation to Head of House: Wife Spouse's Name: Jim Larry Father's Birth Place: Italy Mother's Birth Place: Italy Marital Status: Married Race: White Sex: Female Year of immigration: 1890 Able to read: Yes Able to Write: Yes Neighbors: View others on page Household Members: Name Age Jim Larry 38 head Delia Larry 40 wife Joe Ross 23 ste-son, born in RI Mary Guster 19 step-daughter, born in OH Rose Guster 17 step-daughter, born in OH Guido Guster 12 step-son, born in OH Rocco Guster 10 step-son, born in OH James Larry 7 son,, born in OH Louis Larry 5 [5 6/12] son, born in OH William Larry 1[1 6/12] son, born in OH Victor Milini 41  lodger
considering that James Larry, first son of Delia and her third? husband was born on 1913 (more or less), then George Guster must have died between 1910 and 1912...