I note the Surtees family on the 1851 census
https://www.familysearch.org/ark:/61903/1:1:SGJB-FQMWilliam Surtees born 8 Mar 1811
Baptised 7 Jul 1811 Washington, Durham
Father Robert Mother Eleanor Todd
1st Marriage
Eleanor TODD to Henry JOHNSON Marriage 08 May 1802 Durham Washington : Holy Trinity :
Henry JOHNSON Burial age 26 Dec 1805 Durham Washington : Holy Trinity
Death Lost by the firing of the Oxclose Colliery
Eleanor JOHNSON to Robert SURTEES Marriage 5 Feb 1809 Durham Washington : Holy Trinity
As noted on freereg William is the 2nd son of Robert and Eleanor. His father is the son of Robert SURTEES, native of Whickham and his mother is native of Lamesley.
Last child as far as I can see is below.
Jonas SURTEES Baptism 23 Feb 1824 Durham Washington : Holy Trinity
Eleanor 1841 presume a widow?
https://www.familysearch.org/ark:/61903/1:1:MQBJ-WCFQuestion?
If I read the post correctly you mention Robert the wife of Eleanor was born 1766, this means he was 43 when he married. Was he married before?
Robert Surtis baptism 14 Dec 1766 Whickham, Durham Robert Surtis & Jane
I guess this is the baptism mentioned, parents Robert & Catherine abode Milkwell Burn
Robert SURTEES Baptism 25 Jan 1743 Durham Ebchester : St Ebba
Colin