Joseph was born in 1826 but I don't know where.
He is in Newark Notts in 1871
In case this might help details of the 1871 census
Surname transcribed as CONDLEY
RG10; Piece: 3541; Folio: 48; Page: 11
1 Clark’s Yard Newark (same address in 1881)
Joseph 50 Notts occ Cordwainer (pob given as England on 1881c)
Sarah 43 Hoveringham Notts (pob given as Balderton Notts on 1881c)
James 7 Nottingham
William 4 Newark
Sarah LOWE 12 Nottingham shortly going into service
Lydia 6
and here's Sarah with her children in 1861
RG 9; Piece: 2465; Folio: 23; Page: 5
Canal Street Canal Yard Nottingham
Sarah
LOW Head
W 47 B? Notts occ Glove Stitcher
George son 4 Nottingham
Sarah dau 2 Nottingham
William died in 1861 but I can not find Joseph and Sarah's marriage anywhere
Do you know Sarah’s maiden name? Do you have her marriage certificate to William Lowe?If not a birth certificate of one of the children with Joseph would confirm
this looks to be dau Lydia & Winifred
Lydia CONALAY Dec 1865 Newark vol 7b page 283
Winifred Ann CONALAY Sep 1872 Newark vol 7b page 327
There’s this marriage but it would be after the birth son James born c 1864 Newark

Mar 1865 Nottingingham vol 7b page 288
there’s
two female names and
only one male name on the same page
Joseph Stoddard
Caroline Bellinger
Sarah LOWE