On Wednesday afternoon last week, about 5 or 6 o'clock, came up from the north, a cloud of an exceeding black and terrible appearance, from which it rained considerably, with some wind and thunder, but not near so much of either as was expected. Soon after, between 7 and 8 o'clock, came up another cloud, which some, who observed, say moved in an opposite direction, and met another cloud, supposed to be that lately passed, right over the city of New York, and parts adjacent. The effects were terrible; the rain for a long time poured down in torrents, attended with almost incessant broad streams of the fiercest lightning, and most tremendous peals of thunder, resembling in quickness after the flash, the discharges of heavy cannon, but louder, and roaring without intermission. The storm is supposed to have continued near an hour, and the height of it about half that time, exceeding in violence and terrible effects, any thing of the kind that was ever remembered here. In the house of Mr. Joseph Hallet, in Hanover Square, where soldiers were quartered, a soldier named [Abraham] Bartlett was struck dead, and two others terribly wounded by the explosion of a number of charged cartridges, an house adjoining was set on fire, but soon extinguished. One of our Row Gallies in the East-river, was struck, the mast and sprit shattered, and three men struck down, but by proper application, all recovered. A house was struck in Maiden Lane, but whether any person was hurt or not, we have not heard. The old City Hall was struck, and some of the bricks beat down, but no person hurt, Four men were killed on Long Island, and some houses and barns burnt in Toppan.