John,
Just another couple of angles where Walker and Longbenton are linked ( I know nothing about " ownership")
If one was looking for someone in Walker on the 1851 Census, one short-cut would be to locate the series of Surname Indexes Booklets, published by the Northumberland and Durham Family History Society ( I use the set in Blyth Library... there is also one in Newcastle City Library, second floor, and also in Tyne & Wear Archives, Blandford Square) ... and find the listing of the target together with the census ref number to enable a quick look-up of the appropriate census page....
But there are about 50 different booklets for Northumberland... and in which one would Walker folk appear ?... the Longbenton Booklet, alongside folk from Weetslade, Killingworth and Longbenton itself.
On to the 1881 Census... if I was looking on FamilySearch for say Allan and Catherine Mc Lean, whose youngest , Hugh was born in Walker in Feb 1881, in Fisher Street, close to Hunter's Tile Sheds, I would fairly easily find the household, but I would be puzzled as Walker does not figure in the census address, but Longbenton does.
In fact if I used the pull -down menu on the search page, for all the places in Northumberland, Walker is just not listed.
So even up to 1881, Longbenton has some connection to Walker.
Even my home town Blyth the biggest around that area by far, did not rate on 1881 or even on 1901 as a census place , a bit of it referred to as Cowpen, another as Horton and another as Newsham.
Michael Dixon