I'm not sure what records Lesley already has but walking forwards from 1841 there's a possible lead for Thomas and Elizabeth:
Thomas Read & ElizabethCensuses:
1851 Wilmot Street, Bethnal Green
Thomas, Elizabeth and daughter Jane. All weavers.
Ref HO107; Piece 1541; Folio 87; Page 7;
https://www.familysearch.org/ark:/61903/1:1:SGBJ-NN11861 Holford Square, St James Clerkenwell
Thomas, married, retired weaver
Daughter Ann
Both with Thomas's son-in-law Thomas Simpson, head of household, widower, linen draper.
Ref RG09; Piece 192; Folio 32; Page 26;
https://www.familysearch.org/ark:/61903/1:1:Q2M2-T2VDThere's a number of possible matches for wife Elizabeth in 1861 but nothing obvious.
1871 Church Road Havelock Cottage, Edmonton
Thomas, retired silk weaver, and Elizabeth
Ref RG10; Piece 1341; Folio 46; Page 28;
https://www.familysearch.org/ark:/61903/1:1:VF6Z-MD1Possible GRO deaths references:
1876 Q1 Death - Thomas Read; age 88 (born c1788); Edmonton; 03a; 171
Thomas Simpson & Elizabeth Ann Read - daughter of Thomas Read & Elizabeth
GRO BMD references:
1842 Q3 Marriage - Thomas Simpson & Elizabeth Read; West London; 2; 211
1843 Q2 Birth - Elizabeth Simpson (mmn: Read); West London; 02; 239
1844 Q2 Birth - Thomas Simpson (mmn: Read); West London; 02; 249
1845 Q4 Birth - Zephaniah Simpson (mmn: Read); West London; 02; 245
1846 Q4 Birth - Richard Simpson (mmn: Read); West London; 02; 243
1848 Q2 Birth - Mary Ann Simpson (mmn: Read); West London; 02; 251
1850 Q3 Birth - Emma Simpson (mmn: Reed); Saint Luke, Middlesex; 02; 265
1850 Q4 Birth - Jane Ann Simpson (mmn: Read); Clerkenwell; 03; 85
1852 Q1 Birth - Adeline Simpson (mmn: Read); St James Clerkenwell; 01b; 459
1854 Q3 Birth - Thomas Simpson (mmn: Read); Clerkenwell; 01b; 462
1855 Q2 Birth - Mary Ann Simpson (mmn: Reed); Saint Luke Middlesex; 01b; 520
1861 Q1 Death - Elizabeth Simpson; age 47 (born c1814); Clerkenwell; 01b; 441
I can't find baptisms for all these births so some may not be children of Thomas and Elizabeth.
Marriage:
married: 07 Aug 1842; St Andrew, Holborn; lic
groom: Thomas Simpson; fa; bach; linen draper; 49 Farringdon Street
bride: Elizabeth Read; fa; spin; -; Sidney? Place, Commercial Road
grooms father: Zephaniah Simpson; seaman
brides father: Thomas Read; weaver
witnesses: Zephaniah? Simpson?, ? Simpson?, Elizabeth? Dowell?
Baptisms:
St Mary and St Stephen, Spitalfields:
02 Oct 1814 Elizabeth Ann Read; Thomas & Elizabeth; Wilks St; Weaver
St Andrew, Holborn:
09 Jul 1843 Elizabeth Simpson; Thomas; Elizabeth; 49 Farringdon St; Linen draper; born 13 Jun 1843
23 Jun 1844 Thomas Simpson; Thomas; Elizabeth Ann; 49 Farringdon St; Linen draper; born 31 May 1844
St Sepulchre, Holborn:
14 Dec 1845 Zepahniah Simpson; Thomas & Elizabeth; Snow? Hill; Linen draper; born 28 Sep 1845
St Mark, Clerkenwell:
20 Oct 1850 Jane Ann Simpson; Thomas & Elizabeth; 18 Holford Square; Linen draper; born 18 Sep 1850
28 Mar 1852 Adeline Simpson; Thomas & Elizabeth; 18 Holford Square; Draper; born 01 Mar 1852
10 Sep 1854 Thomas Simpson; Thomas & Elizabeth; 18 Holford Square; Linen draper; born 22? Aug 1854
Censuses:
1851 Holford Square, Saint James Clerkenwell
Thomas, linen draper, and wife Elizabeth A, born c1814 Spitalfields
Plus children Zephaniah and Jane Ann
Ref HO107; Piece 1517; Folio 453; Page 21;
https://www.familysearch.org/ark:/61903/1:1:SGFB-6C8