Particularly detailed baptism records for three of their granddaughters confirm that Elizabeth is the daughter of "George Carr, farmer, of Hexhamshire, and his wife Mary late Armstrong". In the 1805 baptism, the other grandfather is described as "late" but George Carr is not, suggesting that he may have been still alive in 1805.
1800 baptism of granddaughter Molly Chatt 1803 baptism of granddaughter Hannah Chatt 1805 baptism of granddaughter Peggy Chatt
From the original parish register, Church of England, Hexham, Northumberland in FHL film# 991802 item #2.
"Banns of marriage were published in this church between George Carr and Mary Armstrong both of this parish May 7 May 14 May 21 by me W Graham curate. George Carr & Mary Armstrong both of this parish were married in this church by banns this 27th day of May 1758 by me Wm Graham curate. This marriage was solemnized between us George Carr & Mary Armstrong in the presence of us Francis Bell & John Cook"
The signatures of bride, groom, and witnesses in distinct hands indicates that this is an original contemporaneous record (and that bride and groom could both write their names).