I've given up with 1871 as finding single men in their 20s is always tricky if they are not with their parents and by 1861 Peter seems to be dec'd.
I forgot to post 1851, so here it is:
Blue Row, Bishop Auckland, Durham
Peter Cooper head wid 34 coalminer, Cumberland, Whitehaven
Sarah Cooper dau 12 housekeeper b Northumberland, Gosford
John Cooper son 10 coal miner b Northumberland, Halliwell
George Cooper son 7 scholar b Durham, Chester-le-Street
Embla Cooper dau 5 scholar b Durham Kelloe (Embla seems to be a contraction of Isabella!)
William Cooper son 1 b Durham, Heaton
and 1861:
West Auckland, Durham
James Wheatley head m 24 pitman b Durham, West Auckland
Sarah Wheatley wife m 23 b Northumberland (can't read place)
Frances Ann Wheatley dau 1 b Durham St Helens (named for Sarah's mother?)
George Cowper bro-in-law unm 18 pitman b Northumberland Portobello (?)
Isabella Cowper sis-in-law unm 17 house serv b Durham, Kelloe
William Cowper bro-in-law unm 2 (should be 12?!) b Durham Helton
and here's the marriage to prove Sarah's name was Cooper and not Cowper!!
Marriages Mar 1858
COOPER Sarah Ann Auckland 10a 126
MEDLAM Elizabeth Auckland 10a 126
Richardson Anthony Auckland 10a 126
WHEATLEY James Wilkinson Auckland 10a 126
I can't see the Wheatleys in 1871