Hi again, I'm not able to answer that question re registering anywhere back in the late 1700's or early 1800's. Sorry, you would have to request that info from the Bermuda Archives.
Bermuda Archives Government Administration Building 30 Parliament Street Hamilton, HM 13, Pembroke BERMUDA 441-297-7737; fax 441-295-8751
Have you seen the family tree on http://www.rootsweb.ancestry.com/~bmuwgw/brownrevr.htmhttp://www.rootsweb.ancestry.com/~bmuwgw/brownrevr.htm this may help you as your Adam is listed there along with a number of his ancestors and descendants too. Well, I think this is the same tree as yours.