So my immediate connection is William Nethersole who was buried at St. Margaret's, Canterbury before 1761. He was a lieutenant of the marines and was supposedly from the Charing branch. He married 24/10/1722 to Frances, dau. of Thomas Pierce of Hansletts and heir of her brother. They had at least 4 sons and 3 daughters.
Now it is possible that the above William was the son of another William Nethersole, gent., of Charing who was born c.1670 and died 1731 and was buried at Charing. He married in 1694 at Charing to Philadelphia (1673-1717), dau. of Christopher Dering of Wickins who was a cadet of the Dering family of Surrenden. I have 6 sons from this marriage (including one named Heneage Nethersole who died a baby in 1716) plus 2 possible daughters, all apparently baptised at Charing.
I do hope that the above details will help and look forward to hearing more.
You might also be able to help with more substantive evidence for the connections with the Barham branch to the main family.
Many thanks,
Caspar