Hi Kathleen,
You don't say when Sarah was born, (do you have her birth cert, mother's name?) so not sure if this is the right family, but it might fit:
a Joseph Surtees married Isabella (no surname given) 5 Jun 1824 Lanchester
1841 census HO107/313/04 f.13 p.21
Butchers Row, Haswell
Joseph Surtees 40 Coal Miner
Isabella " 37
Ralph " 16 Coal Miner
John " 14 "
Mary " 9
Joseph " 7
Isabella " 3
Margaret " 1
1861 census RG9/3746 fol 34 p.20
South Hetton, Haswell
Joseph Surtees Head Mar 65 Retired Coal Miner Durham, Tanfield
Isabella " Wife " 56 " wife " "
Joseph " son unm 25 Coal Miner " Houghton Le Spring
Margaret " dau unm 20 " Easington
Ralph " son 13 Coal Miner " "
Isabella Brown dau mar " "
Thomas Surtees grandson 3 months " "
and a Joseph Surtees died Sep 1878 aged 84 Easington
Hope this helps, Barbara