As Rosie says, Wilkes Street, Whitechapel is not far from Bethnal Green so it wouldn't be unusual for the family to move from Whitechapel to Bethnal Green (some in my own tree make the same move).
Wilkes Street, Whitechapel - Ordinance Survey maps 1893-1895
http://maps.nls.uk/geo/explore/#zoom=18&lat=51.5209&lon=-0.0728&layers=163&b=1Wilkes Street, Whitechapel - OpenStreetMap
http://www.openstreetmap.org/way/157012200#map=18/51.51992/-0.07250I've had a look for some of the children and found possible leads for George and Benjamin...
George Read - possible lead
GRO BMD references:
1844 Q4 Marriage - George Read & Harriet Eleanor Hulbert; Bethnal Green; 2; 15
1846 Q3 Birth - George Read (mmn: Hulbert); Bethnal Green; 02; 3
1848 Q4 Birth - Charles Read (mmn: Hulbert); Bethnal Green; 02; 12
1851 Q2 Birth - Harriot Elenor Read (mmn: Hulbert); Bethnal Green; 02; 5
1853 Q3 Birth - Thomas Joseph Read (mmn: Hulbert); Bethnal Green; 01c; 250
1859 Q3 Birth - Elizabeth Ann Read (mmn: Hulbert); Saint Luke Middlesex; 01b; 569
Marriage:
married: 02 Nov 1844; St James the Less, Bethnal Green
groom: George Read; fa; bach; weaver; 5 Elizabeth Street
bride: Harriet Eleanor Hulbert; fa; spin; -; 26 Wilmot Road
grooms father: Thomas Read; weaver
brides father: Joseph Hulbert; weaver
witnesses: Thomas Read (x), Eliza Hudwell?
Note Harriet's address, Wilmot Road. Coincidence?
Censuses:
1851 Paines Gardens, Bethnal Green
Ref HO107; Piece 1541; Folio 534; Page 23;
https://www.familysearch.org/ark:/61903/1:1:SGNJ-N4C1861 Park Street, Bethnal Green
Ref RG09; Piece 256; Folio 1; Page 11;
https://www.familysearch.org/ark:/61903/1:1:Q2ML-8KL61871 Park Street, Bethnal Green
Ref RG10; Piece 489; Folio 52; Page 97;
https://www.familysearch.org/ark:/61903/1:1:VRJV-117This George Read is reasonably consistent re. his age and birth place, c1820-c1821 Bethnal Green.
Benjamin Read - possible lead
GRO BMD references:
1860 Q1 Marriage - Benjamin Read & Emma Pugh; Islington; 01b; 238
1860 Q3 Birth - Alice Read (mmn: Pugh); Islington; 01b; 189
1862 Q1 Birth - Arthur John Read (mmn: Pugh); Islington; 01b; 248
1864 Q3 Birth - Sidney Pugh Read (mmn: Pugh); Clerkenwell; 01b; 593
1866 Q1 Birth - Edith Grace Read (mmn: Pugh); Clerkenwell; 01b; 656
1868 Q1 Birth - Stanley Read (mmn: Pugh); Clerkenwell; 01b; 698
1869 Q2 Birth - Ethelwyn Read (mmn: Pugh); Barnet; 03a; 138
1872 Q3 Birth - Agnes Emma Read (mmn: Pugh); Barnet; 03a; 169
1874 Q3 Birth - Herbert John Read (mmn: Pugh); Islington; 01b; 267
Marriage:
married: 20 Mar 1860; All Saints Church, Islington; lic?
groom: Benjamin Read; 27; bach; ? ?; All Saints
bride: Emma Pugh; 22; spin; -; ? ?
grooms father: Thomas Read; ? man?
brides father: John Pugh; merchant?
witnesses: John Pugh, George Dell, Mary Ann Pugh
The occupation of Benjamin's father is difficult to read, maybe someone can take look and offer their opinion.
Censuses:
1851 High Street, Saint Leonard Shoreditch
Ref HO107; Piece 1533; Folio 190; Page 7;
https://www.familysearch.org/ark:/61903/1:1:SG6H-KS21861 Pentonville Road, St Mary Islington
Ref RG09; Piece 133; Folio 89; Page 57;
https://www.familysearch.org/ark:/61903/1:1:Q2M2-6JS61871 High Road Holly Villa, Finchley, Barnet
Ref RG10; Piece 1333; Folio 42; Page 76;
https://www.familysearch.org/ark:/61903/1:1:VF64-XL51881 High Street, Clerkenwell, Holborn
Ref RG11; Piece 353; Folio 10; Page 14;
https://www.familysearch.org/ark:/61903/1:1:Q27S-SQWJ1891 Lyncham Villas, Beversbrook Road, Islington
Ref RG12; Piece 143; Folio 30; Page 22;
https://www.familysearch.org/ark:/61903/1:1:3R97-L2MThe census records all appear to be the same Benjamin, born c1833-c1838 Bethnal Green, a draper, but his wife changes through the years so he may have been married multiple times. The children on the censuses do provide additional evidence it's the same Benjamin though.