Hi John
I've just been through those bits you sent me and I think I have found more on both William Gillam/Gilham and Jane Rophe.
I think this is probably the William who married Jane
William Gillam son of John Gillam - christened 21 December 1641 at Fletching
https://www.familysearch.org/ark:/61903/1:1:NBV1-ZQKThis William had siblings including a Jane Gillam christened in 1644 at Rotherfield.
It looks like John Gillam married Alice [Alce] Staplehurst in Fletching in May 1636
https://www.familysearch.org/ark:/61903/1:1:NK4N-Z6TThat marriage makes sense as the first child I've found for John Gillam in Fletching is a son named Thomas christened in June 1637
I think John may have been christened in Rotherfield on 26 March 1609 the son of Thomas Gillam. This would certainly make sense if he named his first son after his father.
There is also a John Gillam christened in West Hoathly in 1622 but as he'd only be 14 in 1636 I think he is less likely to be William's father.
What do you think?
Next up info on the Rophes!