In 1850, 'Hannah' Nelson is head of a household that includes 3 children, plus Jemima Bennet age 66. All in household born NJ. No occupation is listed for anyone in the household.
In 1860 Joanna Nelson is a seamstress.
H. Stanley Craig's transcripton 'Burlington County Marriages' calls her Joanna Severn. The Trenton newspaper 'Emporium and True American', edition of Feb 24, 1837, reports the marriage of Michael Nelson and Johanna SWEM.
Deaths recorded in Groveville, Oct 19, 1866. Hannah Nelson age 45. The age is wrong, but she's the only Hannah Nelson in Groveville that would be about that age.