A couple of things I noted.
The Hannah Davison from Washington marries a Robert Stoker in Tynemouth in 1823, then moves to County Durham with husband working in the mines, and children.
I cant find a marriage for John Greener and Hannah Davison or any baptism after Ann Greener birth in 1812.
Ann Davison and Hannah Davison from Usworth/Washington have a brother Benjamin Davison.
This looks to be him in 1861 with his second wife and second family (had an extensive first family and remarried in 1838, presumably as a widower)
Witton, North Bedburn, Durham
Benjamin Davison, 64, Coal Miner, b Durham, Aisworth,
Eleanor, 36, wife, b Northumberland, Gosforth,
William, 12 b North Bedburn,
John A, 5, b North Bedburn,
Benjamin, 4, b North Bedburn,
Hannah, 1, b North Bedburn,
Mary Anderson, Mother in Law, 70, b Ovingham,
This is the family in 1851, ages and birth places are way out, but its the same family. Anderson grandparents are a few doors away.
New Bitchburn, North Bedburn,
Benjamin Davison, 46, Coal Miner, b Wallsend,
Eleanor, 30, b. Fawdon,
William, 2 b Bitchburn.
Eleanor is widowed in 1871, 47, b Fawdon, all children born Bitchburn.
Interesting thing is where they are living in 1851.
Bitchburn Colliery owner was Joseph Love, who seems to be the older brother of Francis Love. Living in the houses immediately either side of Benjamin Davison are : George Love, Ralph Love. Allan Love & Anthony Love and their families. They all appear to be younger half brothers of Francis Love.
Alan