Based on the information you provided with the birth information for the children, it appears that the family remained in Italy. In searching for records, however, I located this
possible ship manifest for an Antonio
Lazzarino, born Bianco about 1884.
Page 1
Page 2
Name: Antonio Lazzarino
Arrival Date: 12 Mar 1909
Estimated birth year: abt 1884
Age: 25
Gender: Male
Port of Departure: Naples, Italy
Ethnicity/RaceĀ/Nationality: Italian (South) (Italian)
Ship Name: Neckar
Port of Arrival: New York, New York
Line: 11
Microfilm Serial: T715
Microfilm Roll: T715_1214
Birth Location: Bianco, Reggio Calabria
Nearest relative in Italy; father Giuseppe in Bianco
Destination: Victor NY to join cousin Giovanni Papasergio
Previously in US from 19??-1908
Biff