Hi Chris,
Thanks for looking. I think there may be another spelling variation or they missed the 1841 census because descendants were living in Battle in 1837 . . . unless, of course, they moved (to Hastings) in the intervening 4 years.
Also, John and Elizabeth Peacham may have been deceased by then, but I think it's strange you found no Peachams at all. Anyway, many thanks for your effort.
Regards,
Shaz