through the water, and had the mortification to see that we were driving to the westward:  about two o’clock the breeze freshened up a little, and although we were within three miles of anchorage in Gower’s harbour, we saw plainly we could not fetch it; however I had hope, as Carteret’s harbour is laid down in the chart four leagues to leeward of it, that we might with ease get in there; we had a boat in shore at this time sounding, and it was the general opinion, that unless we bore away soon, we should not run the distance before dark, we therefore made the signal for the boat, and bore away.

The northermost point in sight from the ship was, according to the sketch made in the Swallow, Point Carteret; we considered the north-west entrance as near to that point, but intended of course to avail ourselves of being to windward to go in at the southermost passage.  The distance, as I have already mentioned, being marked four leagues from Wallis’s Island to Carteret harbour, unfortunately deceived us; and Cocoa-nut island being low, when compared with the high land under which it lies, appeared like a low point projecting from it:  we were past the south entrance of this harbour, before we thought ourselves within six miles of it, and had now a strong south-east wind, which two hours sooner, would have enabled us to have got into English Cove, in Gower harbour:  the distance from harbour to harbour did not appear to me to be more than two leagues, if so much.  It was our misfortune, that the distances marked in the sketch just mentioned, did not agree with our judgment of them.

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.