I looked for other possible documents and what do I find? Another Solomon Levy in the 1851 census living on New Street in Saint Botolph Aldgate, Middlesex, England. He is 5 living with parents Asher and Julia with a large family and lodgers name Phillips.
I can see this could be a hard ball of yarn to untangle.
Source: "England and Wales Census, 1851," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:SG6B-284
: 8 November 2017), Solomon Levy in household of Asher Levy, Saint Botolph Aldgate, Middlesex, England; citing Saint Botolph Aldgate, Middlesex, England, p. 23, from "1851 England, Scotland and Wales census," database and images, findmypast (http://www.findmypast.com
: n.d.); citing PRO HO 107, The National Archives of the UK, Kew, Surrey.