By Captain Joseph Cook, of the Schooner Elizabeth, who arrived at Portsmouth, New-Hampshire, Yesterday from Canso, in Nova-Scotia, we are favored with Two Halifax Papers, of the Fourteenth and Twenty-eighth of May: They contain many lengthy Articles of Importance to the Public from London, down to the Nineteenth of April; but the Multiplicity of other Business in the Office prevents giving our Customers more than the following Extracts; at the same Time would request their Indulgence until next Tuesday, when we shall publish all their Contents, Captain Cook having made a Present of both the above Papers to the Publisher. ー Captain Cook informs us, That on the Seventeenth of April last, on his Passage from Sandwich, he being bound to St. Peter's, a French Island, to procure Arms and Ammunition for the Use of the Contiment, was taken by one of the Ministerial Pirates, and carried into Canso, who, after robbing his Vessel of the greatest Part of the Cargo, Provisions, all his Hands, except himself and Mate, these kind Plunderers were so genteel and polite as to give him, his Vessel again, and permitted him to proceed on his Voyage without Men or any Thing else necessary for the Prosecution thereof, which obliged him to sell his Vessel and the small Remains of the Cargo for less than half their Value: They also robbed him of about Forty Dollars in Cash. ー Before the Vessel was boarded by the Enemy, the Captain threw all his Letters and Papers overboard...He also says, that at the River St. John's, the Indians are highly incensed against the Ministerial Party, and are determined at all Hazards to join the Americans.