I am currently trying to trace the descendants of Deborah Carr (1737 to 1819) the daughter of Peleg and Elizabeth.
Dave
There is a tree for her on familysearch which could give you a starting point for her children. You'd need to verify everything, I didn't see any sources.
https://www.familysearch.org/tree/person/details/LCC4-SRFand her findagrave page names 2 of the daughters:
https://www.findagrave.com/memorial/121239120/deborah-potterThe findagrave page has a picture of only page 131 of some book with some information on Cornelius Potter and Deborah Carr. If you can find the book, you can find the footnotes. I couldn't. It looks like a Potter family history, but it could be a local history from Nova Scotia. It said, in part:
Cornelius Potter m Tiverton RI (Dartmouth int. 14 May 1757 and m 3 July 1757) 23 April 1757 Deborah Carr[3], daughter of Peleg and Elizabeth __ Carr[4], and a descendant of Roger Williams[5]. Deborah was b Newport RI? ca 1737 [6] and d before 25 April 1819 burieal ae 75 yr [sic][7]. She is buried in St Pauls, Rawdon, NS. [8]
Peleg Carr of Newport RI, shopkeeper, made his will 28 Dec 1736, proved 10 Jan 1736/7 and named Elizabeth, "who is now with child"[9]
followed by more on Cornelius, including:
he married out of order before 20th day of 3rd month 1758 and was disowned by Dartmouth Monthly Meeting 19 May 1758
was in Newport NS about 1758, definitely by 21 July 1761
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I found some confusing information about their marriage and intention to do so from various sources:
married in Tiverton 3 July 1757
intentions in Dartmouth 14 May 1757
Registered in Tiverton and Dartmouth MA 14 May 1757
Dartmouth says both of Dartmouth
Tiverton says he of Dartmouth, she of Portsmouth
There was evidently some problem with their marriage which led to him being read out of the Monthly Meeting at Dartmouth - by which time he might have already been in NS
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I looked and didn't find anything for Elizabeth Aylsworth. There was an Aylesworth family in North Kingstown about that time and an Elizabeth in it, but a generation earlier. The fact that Deborah is connected with Tiverton and with Dartmouth, MA, might tell you something - did Elizabeth Aylsworth Carr have family there to go back to when Peleg died?
Also she could have been married before and the marriage record is not indexed as Aylsworth. Peleg married (1) Ann Crawford in Providence, so you could expect him to marry Elizabeth whereever
she was living, not where he was. You might have to find Arnold's Vital Records themselves and look in the most likely towns. Google it or look here
https://onerhodeislandfamily.com/2018/11/12/arnolds-rhode-island-vital-record-of-rhode-island-post/---------------
And the area near Tiverton was part of Massachusetts at first, which might be making the search more difficult. There are better sources, I'm too lazy to find them right now, but if you can't believe what you read on wikipedia, what can you believe
https://en.wikipedia.org/wiki/Tiverton,_Rhode_Island