We arrived here yesterday, after a passage of 25 days, from Newfoundland. On the 12th of October, in lat. 30.43. long. 59. at one p.m. fell in with an American privateer of ten carriage guns, who fired a shot at us, but shewed no colours, and immediately afterwards she fired a second shot; we hoisted our colours, and gave him a shot from one of our stem chase, having hoisted two of our guns on the quarter-deck for that purpose, at the same time making all the sail we could, the privateer coming up but slowly, and keeping a constant firing with her two bow guns, which we returned as fast as possible. We thought she intended to board us; upon which we got all our guns over to the lee side, and gave them all at once, which made her heave about to repair her rigging for a few minutes, and then gave chace again, but night coming on we altered our course, and saw her no more. Wm. Miller.