Sue, Bermondsey rings a bell. I dont know why. I have an Ellen Jeal, parents Henry Jeal b. 1799 and Dinah foster b. 1795. Henry Jeals parents were Edward Jeal b. circ 1750+ and Ann Botting.
If you have the brothers and sisters of your Alpheus Jeals then se if any of them are any of the above.
I have found many times that It is the siblings that give you a clue when there is nothing about the actual line you are searching. Unfortunately I do not know any of the siblings of my Jeal line, but we have some wierd names in our Jeal line. Maybe you have too. If any of this fits in around the same dates let me know. Give as much info as you can and I will have a look next time I go to the Chichester records office.