Accounts were received Yesterday, that the St. James, of this Port, from Jamaica, that has been missing and was supposed to be foundered, was taken by a Provincial Privateer. The Privateer convoying her to an American Port, was closely pursued by the Sphynx Man of War, and to prevent the St. James being retaken, she ran her on shore. The Man of War secured the People and some Part of her Cargo, and then set fire to the Vessel, to hinder her falling again into the Hands of the Provincials.