And there is another error which I must take the liberty to correct, and which also tended to deceive us; Point Carteret, in the Swallow's sketch, is the extremity of the land westward, which can be seen from a ship off Gower harbour, and the land from that point inclines immediately to the northward; but there is a point which lies north-west from Point Carteret, not less than four miles, and from that point the land trends to the northward: this point comes suddenly down from very high land to a round bluff point, which is steep to, and Point Carteret is low and woody. We discovered our mistake when it was too late to recover it in such a vessel. We ran along the shore close in, and endeavoured to find anchorage; we had also a boat a-head for the same purpose, but although we went sometimes within a cable's length of the shore, we could not find bottom. Our situation now became serious, for our water was become short, and we had yet a long voyage before us; it was now absolutely necessary to look for some supply of that article, and as we were only victualled for sixteen weeks when we left Port Jackson, and had already been eight at sea, we could not on that account lose much time, lest we should meet with calms as we came near the Line. Full allowance of water, in so sultry a climate, and so crowded a ship, was a matter which I was exceedingly anxious about, for without a sufficiency of that article, sickness amongst the people was much to be dreaded. Before we went any farther to the northward, I was determined to try the coast of New-Britain; we therefore stood over for that land, intending, if possible, to find an anchoring place. On the morning of the 22d, we came within three or four leagues of the shore; it then fell calm, and the boat was sent in shore with Mr. Keltie, the master of the Sirius, who had directions to make a certain signal if he found anchorage: in the afternoon, a light breeze sprung up, which enabled us to stand in and meet the boat. Mr. Keltie reported, that the part of the coast which he had been in with, was streight, and had no appearance of any sort of bay, or the smallest probability of anchorage; that he had frequently tried to get bottom within three cables length of the shore, but without success. On this coast we found a regular tide, its general direction was south-east and north-west. The hills mentioned by Captain Carteret, on the coast of New-Britain, by the name of the Mother and Daughters, are very remarkable; a little way within the south-eastermost Daughter, there is a small flat-top'd hill, or volcano, which all the time we were within sight of it, emitted vast columns of black smoke. On this coast there appeared many extensive spots of cleared, and apparently cultivated land.