There are over 30 ship manifest for a Jacob Bozagie--he was a member of the ship's crew. There are also several listings on Ancestry for the Bozagies in England, but I don't have an international membership therefore I can't view them.
I saw the ship manifest for Margaret and Violet, but unfortunately it doesn't say where they were going.
New York, Index to Petitions for Naturalization filed in New York City, 1792-1989
Name: Margaret Bozagie
Birth Date: 27 Jun 1893
Naturalization Date: 11 Nov 1954
Residence: New York, New York
Title and Location of Court: New York Southern District
U.S., Social Security Death Index, 1935-Current
Name: Jacob Bozagie
Last Residence: 12542 Marlboro, Ulster, New York, USA
Born: 13 Jan 1892
Died: Feb 1968
State (Year) SSN issued: New York (Before 1951)