The consistency of Elizabeth's age in census entries suggests she was born between April 1800 and March 1801.
Maybe the daughter of Thomas/Elizabeth - bp.27 Jun 1801?
But at both her marriages (to William Wells and James Nelson) a witness was Harriet Wilson - a sister perhaps?
.. Elizabeth bp.6 Jan 1801 at Cottingham to John/Elizabeth.
.. Harriet bp.25 Dec 1810 at Hull to John/Elizabeth. She was,
   however, born in 1806 - old enough to be a witness in 1822?
And could John/Elizabeth have been the same parents and
moved from Cottingham to Hull after 1801?

William and Elizabeth were both born at Hull where they married in 1822. Elizabeth was widowed not long after Ann was born - she married James Nelson in 1831. No burial records can be found for a William Wells of a similar age to Elizabeth in Hull/E.Yorks between 1825 and 1831. William was a mariner, so did he die at sea ? Could he have been the William Wells buried at the coastal town of West Wittering, Sussex, in 1828 ?
A William Wells (aged 51) was buried in Hull in 1826, but this is likely to be William Brown Wells, born 1874. He had married Mary Ann GOOD in 1798 and a William Good Wells, son of William & Ann, was baptised in Hull on 26 June 1800 - no doubt the son of William Brown & Mary Ann. William Good Wells, therefore, may well be our William Wells.
Another William Wells (son of William) was also baptised in Hull - on 26 Mar 1799. However, in 1817 a William Wells married Martha Ep(s)worth at Hull and an 1851 census entry shows William/Martha Wells (ages 53/57) still living in Hull.

All ancestors shown lived much of their lives in Hull. Elizabeth Brown, however, was born at Beverley - she and Christopher moved to Hull a few years into their marriage.