Hi Richard. It's good to come across a connection to "my" Dickinsons!
I don't have a complete record, as Hannah isn't in my direct line, but this is what I do have. (If you come across any additional details, please pass them on.)
The Hannah Dickinson to whom I think you refer was born in Seaton Sluice in 1829. She married John Elder on 10.4.1851. Her daughter Ann Dickinson Elder was born in 1853 and I have a note of a second, but unconfirmed birth, Mary Ann Elder in North Shields in 1860.
Hannah's parents were John Dickinson (my ggg grandfather), born 21.3.1795 at Seaton Sluice, baptised 28.3.1795 at Earsdon and Ann, born around 1822 at Seaton Sluice(I think Ann's maiden name may have been Sankey, but that's unconfirmed.) John died before the 1841 census but I don't have an exact date. I don't have a date of death for Ann.
Their other children were:
Mary, born in 1823 at Seaton Sluice, married at Earsdon on 1.5 1845 to William Elder, born 1822 or 23. Their daughter, Mary Susan Elder was born in May 1855 and died on 18.11.70. William Elder died 19.6.1861, but I don't have a date of death for Mary. ( I do have an unconfirmed note that Mary may subsequently have married a Mr Brown.)
John (my great great grandfather) was born at Cramlington and baptised on 3.4.1825. He married Elizabeth Forster, born in Seaton Sluice in 1827, at Tynemouth on 26.8 1848. John died 9.3.1883 at Seaton Sluice, Elizabeth died on 28.02.1896. They had 9 children that I know of. (I can give you details if you'd like them, but I won't clutter up this post with them as they're not in your direct line.)
Stephen, born at Seaton Sluice in 1836. I don't have any other details for him.
Hannah's grandfather was Robert Dickinson born in Grindon and baptised 11.5.1762. He married Elizabeth Davy, born in Cambois and baptised 16.6.1768. She was still on the 1851 census return for Seaton Sluice, but again, I don't have an exact date of death.
Unconfirmed, but probable great grandparents are John Dickison (note the alternative spelling) of Grindon Mill who married Alice Maughan on 25.6.1759