Hi again
First to continue Thomas WRIGHT - the one with whom Arthur was with in 1881/71:
Here they are in 1871 - family of Thomas & Elizabeth, and of Arthur & Sarah - Thomas isn't at home, but I know it's his family (from the 1881):
1871: Nottingham St Mary, Notts.REF: RG10 - Piece: 3525 - Folio: 65 - Pg 45
ADDRESS: 16 Knots? Whole? Place (hard to read the street name)
Head: Elizabeth WRIGHT 41, Married , Housekeeper, b Derby
Dau: Charlotte WRIGHT 17, unm, Spool Winder, b Nottingham
Son: Thomas R WRIGHT 16, b Nottingham
Son: Walter 10, Scholar, b Nottingham
Son: Joseph WRIGHJT 6, Scholar, b Nottingham
Head: Arthur WRIGHT 30, Wood Mould Cutter, b Derby
Wife: Sarah WRIGHT 21, Sewing machinist, b Derby
Son: Thomas Arthur 8 mths, b Nottingham
And 1861:
1861: Exchange, Nottingham St Mary, Notts.REF: RG9 - Piece: 2465 - Folio: 69 - Pg: 24
ADDRESS: 2 Rye Hill Cottages
Head: Thomas WRIGHT 30, Sawyer, b Nottingham
Wife: Eliz'th WRIGHT 31, b Derby
Dau: Sarah WRIGHT 12, Scholar, b Derby
Dau: Charllote WRIGHT 8, Scholar, b Nottingham
Son: THomas R WRIGHT 4, b Nottingham
Son: Walter WRIGHT 3mths, b Nottingham
Brother: Robert WRIGHT 23, Joiner, b Derby
and 1851:
1851: Derbyshire St Peter, DerbyshireREF: HO107 - Piece: 2143 - Folio: 177 - Pg 24
ADDRESS: 1 Chambers Building
Head: Thomas WRIGHT 20, Sailor, b Nottingham
Wife: Elizabeth WRIGHT 24, b Derby
Dau: Sarah WRIGHT 1, b Derby
(I'd bet Thomas' occupation is supposed to be "Sawyer" but enumerator heard "Sailor")
Compare that all - especially 1861 - to the 1841 above for Robert WRIGHT the Carver/Gilder and his family, and old Thomas WRIGHT and his family....FInding Thomas the Sawyer with a brother Robert in 1861 is the best clue/glue yet, becasue in no other Census do we find Thomas the Sawyer & Arthur being called brothers....though it looks as if they are.
Then: this looks like old Thomas in 1841 (and the name of ARthur's mother is therefore Margaret?)
1841: Derby St Peter, DerbyshireREF HO107/199/13, Folio 10, pg 14
ADDRESS: Osmaston? Street
//
Thomas WRIGHT 60 Joiner - Y
Margaret WRIGHT 60 - Y
//
Harriet CLARKE 20, Ind - Y
Matilda CLARKE 8 - Y
//
Going mad - but I bet Matilda CLARKE is the 18 yr old grandaughter named as Matilda WRIGHT in 1851, and Harriet is Thomas & Margaret's daughter.
So We have I believe, these WRIGHT folk (YOB approx)Thomas 1776 and wife Margaret - his son:
Robert 1806 and wife 1) Sarah, 2) Harriet - his 3 sons by wife 1):
Thomas 1831, m Elizabeth, dau Sarah 1851
RObert 1838
Arthur 1840, m Sarah b 1851
Again: Thomas 1831 had a dau Sarah 1850, who is same name, age and POB as Arthur's wife yet it seems unlikely that Arthur married his neice, and therefore must suppose Arthur's wife is another Sarah - who still, could be a relative?
With that in mind, there are at least 6 other Sarah WRIGHTs born Derbyshire who she could be....that marriage of your Arthur and Sarah is crucial to step backwards from 1871.
Cheers
AMBLY