The Halsewell East Indiaman, of 758 tons burthen, commanded by Captain Richard Pierce, was taken up by the directors of the East India Company to make her third voyage to Coast and Bay. On the 16th of November 1785, she fell down to Gravesend, where she completed her lading. Ladies and other passengers being taken on board at the Hope, she sailed through the Downs on Sunday the 1st of January 1786; and, when abreast of Dunnose next morning, the weather fell calm. This was one of the finest ships in the service, and judged to be in the most perfect condition for her voyage. Her commander was of distinguished ability and exemplary character; his officers of approved fidelity and unquestionable knowledge in their profession, and the crew not only as numerous as the East India establishment admits, but the best seamen that could be collected. To these were added a considerable body of soldiers, destined to recruit the forces of the East India Company in Asia. The passengers were seven ladies, two of whom were daughters to the captain, and other two his relations. Miss Elizabeth Blackburne, daughter of Captain Blackburne; Miss Mary Haggard, sister to an officer on the Madras establishment, and Miss Anne Mansel, a child of European parents residing in Madras, returning from her education in England. There was also Mr. John George Schutz, returning to collect part of his fortune, which he had left behind him in India. The ladies were equally distinguished by their beauty and accomplishments; the gentlemen of amiable manners, and of a highly respectable character. Mr. Burston, the chief mate, was also related to Captain Pierce's lady, and the whole formed a happy society united in friendship. Nothing could be more pleasing or encouraging than the outset of the voyage. On Monday the 2d of January, a breeze from the south sprung up at three in the afternoon, when the ship ran in shore to land the pilot. Very thick weather coming on in the evening, and the wind baffling, she was obliged to anchor, at nine o'clock, in eighteen fathom water. The topsails were furled, but the people could not furl the courses, the snow falling thick and freezing as it fell. Next morning at four a strong gale came on from east-north-east, and the ship shivering, they were obliged to cut the cables and run out to sea. At noon they spoke with a brig bound to Dublin, and, having put the pilot on board of her, immediately bore down channel. The wind freshening at eight in the evening, and coming round to the southward, such sails were reefed as were judged necessary. It blew a violent gale at ten o'clock from the south, whence they were obliged to carry a press of sail to keep the ship off shore.--In doing this, the hawse-plugs, which according to a late improvement, were put inside, were washed in, and the hawse-bags washed away, in consequence of which the vessel shipped a large quantity of water on the gun-deck.