The attention which Admiral Gayton pays to the interception of the American vessels, demands the warmest praises. Seven vessels have been fitted out from this island by the Admiral, for the service of government, mounting from eight to twelve carriage guns, and from 40 to 80 men, commanded each of them by a Lieutenant. The French islands have been all along magazines for the Americans, and it was to put a stop, if possible, theret~), that these vessels were fitted out, as the number of frigates and sloops on this station were not sufficient for that purpose. Lieut. Brown, who commanded a brig of eight guns, and 40 men, brought in here a very stout vessel last Week; she is 300 tons burthen, had ten guns, besides a number of swivels, and 29 men. She was bound to Cape Francois with flour and lumber.