Jon,
According to our family record, I believe your connection is likely to be to another line of the family. The record is that Charles Brady (d.1767) had a cousin who set up in the neighbourhood farming at Iken Hall, whose name was Robert , b.1671, and who married a "Widow Easthaugh". I have no record of Robert's descendants (nor predecessors unfortunately). The cousins, successors and their families kept well in touch with each other, and so it comes as no surprise that you have a Sarah, as well as I. However, mine married a mariner called Thomas Cooper in 1770. There was no other Sarah down this line previously. My Sarah was a child of Thomas Brady (son of the abovesaid Charles) and his wife Bathsheba, m.1746, who is recorded in our documents as having a maiden name Syer. However, I have noticed this name Syred when trying to find connections, and a Brady and Mayor Syred went up to London together to petition parliament, so it wouldn't surprise me if our record is wrong here - perhaps misread, or a typo..sorry quillo!
There were lots of Orford related Bradys during the XVIII century of whom I know nothing, and it would be great to be able to follow that line down, but I haven't got around to it yet. What you have discovered might well help.
I'm still trying to find where Charles and Robert came from! It's reputed to be from Scotland but I haven't found any hard evidence, and I note there were quite a few Bradys around in Orford in the XVII century, though details of their relations are obscure.
Regards,
Mike Brady