The report of the capture of the sloop Jenny, Capt. Carty, from this island to Tobago, proves to be without foundation, as that vessel is safely arrived. We should be happy in being able to contradict the report with regard to the sloop Swallow, Capt. Hyndman, which was certainly taken by a French pirate, and carried into a port on the windward part of Martinico, where the slaves, which composed her cargo, and cost here from 40 1. to 42 1. sterling each, were publicly sold for 33 1. currency. The vessel that took her was, we understand, a sloop of ten carriage guns, fitted out of Martinico, and manned entirely by Frenchmen and other foreigners, excepting the nominal Captain, one Welsh, who was formerly an overseer on the estate of Torquil M'Vicar, Esq; in Tobago.

The above mentioned pirate, we are credibly informed, was boarded by Capt. Ardesoif, of the Pelican brig, who found her properly cleared for the Spanish main, and of course let her pass unmolested. In short, the French Governors have entirely thrown off the veil, behind which they lately screened the protection they gave to the American rebels; and so far from keeping up an appearance of neutrality, their Merchants openly and avowedly fit out armed vessels in order to cruise against us.