Well just checked it and the Jeremiah the father was a tailor, his son Jeremiah was a bootmaker
not sure it will be any of your family though Jenny.
I also done look-ups for a Charles Hedges occ tailor who married a Mary Cooper
b Faringdon. They married in 1829 and one witness was a Benjamin Cooper.
Not sure that these will link with yours Jenny but names of their children are unusual. Having
searched these PRs i do know there were travellers in Faringdon also other places nearby.
If you go to Berkshire Look-up Requests board you will see all info on different Hedges families
that i have looked into

Sue