From familysearch - found her with her mother and brother on the census. On the ships manifest - her mother is listed as Carnela Luca , Widow- and the family is listed as staying with Carmela's brother Rosario Luca. Might be worthwhile if you search Rosario and see if you can find more?
U S Census, 1930 Kings, New York
Citing this Record "United States Census, 1930," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/X7X3-XD4
Head Camella Barbuscia F 43 Italy Widow immig 1922
Son Frank Barbuscia M 22 Italy immig 1922
Dau Caroline Barbuscia F 19 Italy immig 1922
http://www.ellisisland.org/EIFile/popup_weif_5a.asp?src=%2Fcgi%2Dbin%2Ftif2gif%2Eexe%3FT%3D%5C%5C%5C%5C192%2E168%2E100%2E11%5C%5CIMAGES%5C%5CT715%2D3006%5C%5CT715%2D30060916%2ETIF%26S%3D%2E5&pID=100080010431&name=Francesco%26nbsp%3BBarbuscia&doa=Aug+10%2C+1921&port=Naples&line=0005
Ship Manifest: Guglielmo Peirce Arrival: Aug 10, 1921 Departure Port Naples
Francesco Barbuscia Residence Messina, Italy line 0005
Carolina Barbuscia Aug 10, 1921 Naples line 0006
Mother is on line 004 as Luca, Carmela F 34y W Italy, Italian Messina, Italy
Name and Address of Relative: Brother: Luca, Rosario 5819=17= ma. Ave. Brooklyn, NY
May possibly be the Brother below?
U S Census, 1930 Brooklyn (Districts 1251-1500), Kings, NY
Head Rosario Luca M 48 Italy immig 1906
Wife Rose Luca F 38 NY
Son Joseph Luca M 17 NY
Dau Lillian Luca F 16 NY
Son Ralph Luca M 10 NY
Son John Luca M 8 NY
Dau Josephine Luca F 6 NY