Kentish Gazette,9 Mar 1798
MARGATE
Lease, Stock and Household Furniture
TO BE SOLD BY AUCTION, by James Hall
By order of the Assignees of John Jenkins, a bankrupt, on the premises, the Prospect Hotel and Bowling Green, Hooper's Hill
There's a full description of the premises
The bankruptcy was reported in the London Gazette, 1797 and 1798 - but doesn't mention the Prospect.