Just to muddy the waters a bit more here's some info. picked up yesterday concerning Jane Miller, Henry Miller and Thomas Bates.
23/12/1855 Jane Miller married Thomas Bates at Christchurch, Tynemouth, both are described as of this parish, and of full age. Jane is the daughter of William Miller profession is given as miner. Thomas is the son of Thomas Bates also a miner.
Thomas and Jane can be followed in different census living in the Cowpen/Bebside area of Blyth 1861 - 1911. Thomas was born at Kenton in Gosforth parish, Jane gives place of birth as Hartley, Earsdon parish. I can't find a baptism for Jane at Earsdon nor can I find a census entry in 1841 or 1851.
Henry Miller was born 7/6/1858 at Tynemouth workhouse and Baptised at Christchurch, Tynemouth 30/7/1858 Jane is described as a single woman. By 1861 she is again in Newcastle with Henry describing her birthplace as West Moor and in later census as Camperdown.
Is it just coincidence that Thomas Bates also lived in Camperdown also known as Hazelrigg. Camperdown is a two street hamlet in 1890. in 1841 there are about 420 people, most involved in the coal industry, probably working at Burradon pit.
So two Jane Millers - one the daughter of William a coalminer, born at Hartley married to Thomas Bates, one the daughter of William a labourer, with son Henry and soon to Marry Thomas McLaughlin, birthplace consistently given as West Moor or Camperdown.
I think Henry's mother is the daughter of William and Ann Surtees but until a positive link is found it will always be open to question.