So, I've done a bit of digging, and now I'm looking for some feedback. Does any of this look possible to you? Do you know anything further about any of these possible parents? Any thoughts?
This is a questions that has been unanswered for a very long time. My hope is that with better access to more records and more connections with interested people, perhaps an answer will now be available.
Also, the English Civil was General was married to an Anna, who was in England at the time that Hannah was on Long Island, so he's NOT the husband.
Possible Parents and Origins
The following is based on the records stored in the Family Search Database. They are all birth/christening records. There are some issues with this source. First, the records seem really spotty. Entire regions seem to be missing from these records, but it could be that I'm just searching for less common names. Second, There don't seem to be many records anywhere for children born in the 1630s, probably owing to the civil war. Third, there don't seem to be any marriage records and very few death records. With all that, I did find a few possible parents for Hannah and John I looked through all of the records I could find for John Elton and Hannah Elton, spelled properly and born at about the right time. There were no Hannah Eltons born at the right time, so I used Anna instead. From what I can tell from the records, and I've only seen transcripts which may have been corrected for spelling, John always spells his name the same way, so it is probably spelled that way in the vital records. Also, most of the other spellings didn't look like they would sound the same as Elton (no Alton, Elden or Elten or similar). I found a few parents who had both a John and an Anna. It is possible that some of the other Johns and Annas also had unrecorded siblings, so I may not actually have found the right parents, but I've listed below some options. My hope is that others may have access to marriage records for Anna (Hannah) which would help or wills from the areas listing John and Hannah as living in America, for example. Once I found some potential parents, I went looking for Overtons in the area as there are no records of any Overtons in the US for Overtons born in the 1600, which Isaac's father would likely have been, so Hannah was likely married in England and left as a widow. (Unless Family Source is missing some death records, like for Isaac's father here in the US.) Here is what I've found:
1617 Anna Daughter of Robert and Elizabeth in Cole Orton, Leic'shire 1624 John son of Robert in Nottingham, Nott'shire 1604 Johannes Overton Son of Josephi Overton in Barwell, Leic'shire
1611 Anna Daughter of John in Hurstbourne Tarrant, Hampshire 1610 John Son of John in Hurstbourne Tarrant, Hampshire Several Overtons are in Hampshire, but they are in Romsey, which is a ways away. Some other Overtons are recorded as Hampshire, but they appear to be living on the Isle of Wight (both Whippingham and Freshwater are towns on the island)
1620 Anna daughter of John in Inkpen, Berkshire 1612, 1616, 1621 John son of John and Alice in Kingston Lisle, Berkshire (1612 and 1621 have the same birth date in January, so one may be a transcription error) No Overtons nearby except possibly the ones in Romsey
Inkpen is very close of Hurstbourne Tarrant, so this may be the same family. I haven't found many death records, so the 1620 Anna could be a second child.
The towns listed in the case of different towns are all within about 20 miles of each other and appear to have direct or mostly direct road access between the towns, so the distance seems plausible.