The next step that was to be pursued, was to examine the Duke of York's Island, and on the night of the 22d, we ran off the east point of it, with a light air from the westward, and brought to till day-light; having been near enough to the south-east part of the island the whole of the preceding day, to discover that there was little prospect of anchorage on that side. In the night we heard breakers at no great distance from us; this we found at day-light was a spit, which runs a small distance off the east point of the island. On the 23d in the morning, we had very little wind, and the boat was sent in shore to sound; the ship was at this time about a mile and a half off. Many canoes came off, with every appearance of friendly disposition; we gave them a few trifles, and they seemed to insist on making a return for every thing they received; cocoa-nuts, yams, and bananas, were held out on the point of a long spear, or pole, for they seemed afraid to touch the ship; the boat which was sounding endeavoured to make them understand that we wanted water, and showed a small keg, intimating by signs that they wanted it filled; the people in one of the canoes went to the boat, received the keg, went immediately on shore, filled it, and brought it back to the boat: the officer then gave them another small keg, which he meant as a present, but it was immediately sent on shore by another canoe: in the mean time a breeze sprung up, the boat steered along shore and the ship followed: the people who had taken the last keg, after having filled it, followed our boat with the utmost speed, came up with her and delivered it; this I thought a striking proof of the honesty of these people, and it will particularly appear so, when it is considered, that the keg was hooped with iron. As we ran round the western side of the island, we observed a small bay or cove, into which the boat went, followed by many canoes, and an immense multitude of people on the shore. We shortened sail to give the boat time to examine it; she very soon returned, and Mr. Keltie informed us that there was anchorage in the bay; we immediately made sail into it, and at noon of the 23d, anchored in twenty-one fathoms soft ground, with some loose patches of coral; here we were within a cable and a half of the beach.