I did some research and with the help of Alganbagerap and Coinzip.com found out this indeed a Brownbill Halfpenny.
The inscription on the edge reads "Payable at H. Brownbills Silversmith."
Very cool! The bishop is Bishop Blaze and he made a number of the obverses of the several districts' Conder Tokens used for money from 1787-1797 when there was no official UK currency.