Just stumbled across the thread as well as the other one. I wasn't quite with it last night!
Having a read through, if Thomas Edward Branwhite was indeed 51 when he died in 1830, that would give a birth date circa 1779.
I've had a look at the skeletal tree I've built and there are a number of Branwhite couples having huge family around that time in Lavenham, Suffolk - but no Thomas that fits that date

The closest I have noted (keeping in mind there are probably missing people and incorrect data, so I apologise now) is Thomas Branwhite born in 1783, second son of Roland and Susanna, nee Westrop.
Possibly him, possibly not him!
There is another man, Brooke Branwhite, who had at least twelve children, including several in the late 1770s and early 1780s, who could also have fathered Thomas Edward. Indeed, there is a five year gap between Priscilla (1777-1865) and Charles (1782-??) that could have had another child in it, but alas, if Brooke did have a son called Thomas, I have no record of such