A letter received from a Midshipman on board the Lady Keith, armed schooner at Jamaica, gives the following account:

Our Admiral seeing the necessity there was (from the number of small American privateers hovering a:bout the Islands) to fit out some armed vessels to cruise against them, I was therefore, with another Midshipman, a Lieutenant, and 50 men, put on board a schooner which was purchased for government, and in compliment to the Governor called after his Lady. She is a swift sailer, and we have been very lucky in her, having taken in the first three weeks of our cruise two prizes, one of them laden with gunpowder and other stores. We chased another American vessel (a rich one I believe) into St. Domingo, where, luckily for her, she got shelter. As we are always at sea, we have taken seven prizes, which we have carried into Kingston, to the no small satisfaction of the Island, four of them being laden with provisions, which fetched us a very good price from the great scarcity; the rest of the prizes we have turned into money, which is quickly done here, and as quickly spent.