When Ann** BRINKWORTH married Thomas CARTER in 1810 - where they any witnesses?
On the Gloucestershire Genealogical Database there does appear to be clusters of BRINKWORTH/BRINCKWORTH/BRINKETT who were non-conformists.
*** There is also a chance Ann could be been baptised Hannah - have seen this shortened a number of times of various trees
Assume Thomas & Ann(e) had their children baptised at Arlingham as Thomas CARTER was from Arlingham
Glos Cd from 1813
Ann - 12 November 1820 Thomas (Farmer's son)
Ann - 21 August 1826 - Thomas (Farmer's son)
Emma - 12 May 1822 - Thomas (Farmer)
Thomas Henry** - 26 November 1826 - Thomas (Butcher)
Mary Caroline - 26 December 1820 - Thomas (Butcher)
Louisa - 22 August 1824 - at Marstow - residence: Brilston - Thomas (Farmer) & Ann
Giles
Hodges CARTER - 13 March 1836 - Thomas (Butcher)
Betsey - 8 November 1828 - Thomas (Butcher)
Oliver - 12 February 1832 - Thomas (Butcher)
Albert - 7 July 1833 - Thomas (Butcher)
Anne - 19 August 1838 - at Arlingham - Thomas (Farmer) - Fod records
Eldred William - 21 April 1840 - dito
I've highlighted Thomas Henry born 1826 and Betsey - 1828
re: Giles
HODGES CARTER - and surnames travel through generations
John
HODGES BRINKET christened at Leonard Stanley - 12 February 1757 - father Thomas BRINKET
as at Arlingham
BRINKWORTH -
Thomas (Waterman) and Betsy - address: Arlingham Priden
had two children christened on the same day
Henry and a Thomas- 21 October 1821
William - 15 December 1834 - Thomas (Butcher)
Fretherne St Mary
Thomas and & John - christened 11 April 1814 - Thomas (Waterman) & Elizabeth BRINKWORTH