I have a James Robert Jarman christened 29 Oct. 1815 at St Leonards Shoreditch (ie in the East End) - the IGI wrongly has the surname as "Jurman". He's not in my direct line, but a nephew of my g g g grandfather. I suspect (but am not sure) that he's the same James Robert Jarman who, according to the IGI, had a son James Samuel Jarman christened 24 Aug 1845 also at St Leonards Shoreditch.The mother was called Mary Caroline. Sounds close to what you're looking for. Let me know if you think it's the same.