I think that I can help you with George Adams' wife Elizabeth.
On 26 Jun 1838 George Adams married Elizabeth Burgess in St-Dunstan-in-the-West, London.
This is confirmed by the newspaper article which reads:
At St Dunstan's in the West, London, on Tuesday, Mr George Adams, of Gosport, to Elizabeth, youngest daughter of the late Mr Thomas Burgess, of Nursling Mills, near Southampton.
It also explains why their first born was named "George Burgess Adams"
I am descended from Thomas Burgess' elder daughter Mary
regards
Lou