Thanks for the info I think Paggen and Padgen might well be different people, William born 1833 in Woolwich is a relative of mine but I dont see where you tie the John B:1837 to William as john was born in Shoreditch ?. William and Martha (Padgen)had a son Henry a brother to William born 1839 in Woolwich which is my direct line.
The William born in Shermanbury 1806 died in 1820 for more info on the Shermanbury Line look at the postings of John Dudney.
The reason I mention William Dudney and Mary Ann Johnson is that they are in the right place (East Wickham, Kent) at about the right time to be 1806 Williams parents.(This is not the same William b:1806 Shermanbury although We do believe they will link up somewhere along the line).