While we lay at anchor for the night, we found that the ship made about fifteen inches water an hour, from which no immediate danger was to be apprehended; and at six o’clock in the morning, we weighed and stood to the N. W., still edging in for the land with a gentle breeze at S. S. E. At nine we passed close without two small islands that lie in latitude 15° 41ʹ S. and about four leagues from the main: to reach these islands had, in the height of our distress, been the object of our hope, or perhaps rather of our wishes, and therefore I called them HOPE ISLANDS. At noon we were about three leagues from the land, and in latitude 15° 37ʹ S.; the northernmost part of the main in sight bore N. 30 W.; and Hope Islands extended from S. 30 E. to S. 40 E. In this situation we had twelve fathom water, and several sand-banks without us. At this time the leak had not increased; but that we might be prepared for all events, we got the sail ready for another fothering. In the afternoon, having a gentle breeze at S. E. by E., I sent out the master with two boats, as well to sound a-head of the ship, as to look out for a harbour where we might repair our defects, and put the ship in a proper trim. At three o’clock, we saw an opening that had the appearance of a harbour, and stood off and on while the boats examined it; but they soon found that there was not depth of water in it sufficient for the ship. When it was near sunset, there being many shoals about us, we anchored in four fathom, at the distance of about two miles from the shore, the land extending from N. ½ E. to S. by E. ½ E. The pinnace was still out with one of the mates; but at nine o’clock she returned, and reported, that about two leagues to leeward she had discovered just such a harbour as we wanted, in which there was a sufficient rise of water, and every other convenience that could be desired, either for laying the ship ashore, or heaving her down.