I think this is the widow of Richard ANDERSON, Papplewick - in 1851 & 1861 with her second husband George GREGORY & their children - no sign of any ANDERSON children. But, the last two GREGORY children - I think - have mms surname recorded as HARDWICK for one, and ANDERSON, for the other:
1851: 4 Swainsley Court, Village of Milford, Duffield, DerbyshireHO107 - Piece 2144 / Folio 161 / Pg25
Head: George GREGORY 47, Cotton Spinner, b Basford, Nottinghamshire
Wife: Mary 48, b Mansfield, Nottinghamshire
Son: William 21, unm, Bleacher,
Son: Alfred 18, unm, Cotton Spinner,
Son: Jabez 16, unm, Cotton Spinner,
Son: Levi 9, Bleacher & Scholar,
Dau: Ruth 11mo
All children, born Milford, Derbyshire
1861: 1 Warehouses, Village of Milford, Duffield, DerbyshireRG 9 - Piece 2507 / Folio 77 / Pg13
Head: George GREGORY 54, Cotton Spinner, b Old Badford, Nottinghamshire
Wife: Mary 57, b Mansfield, Nottinghamshire
Son: Alfred 27, unm, Cotton Spinner,
Son: Jabaz 22, unm, Cotton Spinner,
Son: Levi 18, unm, Bleacher
Dau: Lucy 11, Bleacher, (think this is "Ruth" in 1851)
All children, born Milford, Derbyshire
Milford comes under the Belper Registration District.
Two of those children, Levi and Lucy (Ruth), were born after start of Civil registration:
GRO UK:
https://www.gro.gov.uk/gro/content/certificates/indexes_search.aspBIRTH: Levi GREGORY , reg Jun Qtr 1843, Belper Union, mms:
HARDWICKBIRTH: Lucy GREGORY, reg Jun Qtr 1850, Belper Union, mms:
ANDERSONand there appears to be another child:
BIRTH Charles GREGORY, reg: Jun Qtr 1845, Belper Union, mms: HARDWICK
DEATH: Charles GREGORY, Sep Qtr 1850, Belper Union
Cheers
AMBLY