Update!
It looks like John Chambers who married Ann Simonson/Simmonson was born in Egerton in 1639. Egerton is next door to Boughton Malherbe and Pluckley.
John was the son of John Chambers and Jane Potman. They appear to have had another son named John christened in Egerton on 13 December 1635 but it looks like he died as there is a burial for him on 20 May 1637.
John Chambers and Jane Pottman were married by Licence and this makes very "interesting" reading!
"John Chambers - John Lee of Charing, husbandman, alleges that John Chambers, same parish, husbandman, about 20, son of Thomas Chambers of Battle in Sussex, husbandman, with his father's consent, intends to to marry Jane Pottman of Charing, spinster, about 22, daughter of Christopher Pottman of Challock who also consents. "The said Jane now being with child as she confesseth by the said Lee where upon the said Chambers is in the custody of the Bossolder until he shall marry with her whereby he cannot come to procure his licence" At Charing, Nov 25, 1634.
So it looks like the Chambers came from Sussex. I don't know what the term "Bossover" refers to but I suspect it might be some sort of parish constable. What do you think? It certainly makes interesting reading.
I am also pretty sure that the Ann Simonson who married John Chambers in 1663 is the one born in Boughton Malherbe. This is because the licence refers to her brother "John Sim'onson of Molash". I have found that the Ann who was christened in BM had a brother named John who was christened there in September 1639 which seems to tie up.
Anyhow that's all for now.
Matt