I have established that William and Thomas Franklin - earlier post Lincolnshire section - are most likely the same person. But why should someone change his name in mid-life? The change happened between 1813 and 1815. He was born in Worlaby about 1782 (from 1851 census for Thomas). There is a baptism for William Franklin 26 Dec 1782 parents John and Ann Franklin. He was married 1803 as William, to Mary Cooper. The first 9 of his children were baptised at Middle Street Independent, Wrawby, their father was William. The change came before/when the 10th child, Ann was baptised at Independent Chapel, Brigg, and no 11 at Wrawby Street Independent Brigg (could be the same place); their father was recorded as Thomas. Thomas was also recorded when the next 2 baptisms returned to Independent Wrawby, the minister was different to the one performing the first 8 baptisms. At his 2nd marriage he is again Thomas, registered in 1841 1nd 51 censuses and died as Thomas.
As I am satisfied that they are the same man, this is just a discussion issue, unless someone can show differently! Hope this is the best place for it.