Actually Elizabeth crossed into the US in Sep 1907 as Bradley. 21, domestic, mother Ruby Bradley 24 Raffles Liverpool. bound for New York, friend Mrs. ______ . In 1907 when Francesco had crossed over his record did say single as well. Perhaps the couple married in New York? Frank's 1907 crossing also indicated he entered via Portland, 4/07 on the Dominion.
http://www.freebmd.org.uk/cgi/search.plFrom this site you can play around and find births, marriages and deaths. Sometimes you have to use wild cards to find the different spellings names can be found under.
On the 1901 British census Joseph Bradley, 17, b. Liverpool is a billard marker in Birkenhead Cheshire working for John and Louisa Powell - owners of a pub.
Perhaps the Joseph Bradley on the 1910 US census in Lawrence Ward 6, Essex, Masschussetts, born 1884 England, emmigration year 1902, working as a patternmaker in a worsted mill is yours.
Debbie