The wind continuing northerly, till the morning of the 10th, we continued to stand in and off the shore, with very little change of situation in other respects; but a gale then springing up at S.W. we made the best of our way along the shore to the northward.  At sun-rise, our latitude was 33 deg. 2’ S. and the variation 8 deg.  E. At nine in the forenoon, we passed a remarkable hill, which stood a little way inland, and somewhat resembled the crown of a hat:  And at noon, our latitude, by observation, was 32 deg. 53’ S., and our longitude 208 deg.  W. We were about two leagues distant from the land, which extended from N. 41 E. to S. 41 W., and a small round rock, or island, which lay close under the land, bore S. 82 W. distant between three and four leagues.  At four in the afternoon, we passed, at the distance of about a mile, a low rocky point, which I called Point Stephens, on the north side of which is an inlet, which I called Port Stephens:  This inlet appeared to me, from the mast-head, to be sheltered from all winds.  It lies in latitude 32 deg. 40’, longitude 207 deg. 51’, and at the entrance are three small islands, two of which are high; and on the main near the shore are some high round hills, which at a distance appear like islands.  In passing this bay, at the distance of two or three miles from the shore, our soundings were from thirty-three to twenty-seven fathom, from which I conjectured that there must be a sufficient depth of water within it.  At a little distance within land, we saw smoke in several places; and at half an hour past five, the northermost land in sight bore N. 36 E. and Point Stephens S.W. distant four leagues.  Our soundings in the night, were from forty-eight to sixty-two fathom, at the distance of between three and four leagues from the shore, which made in two hillocks.  This Point I called Cape Hawke:  It lies in the latitude of 32 deg. 14’ S., longitude 207 deg. 30’ W.; and at four o’clock in the morning bore W. distant about eight miles; at the same time the northermost land in sight bore N. 6 E. and appeared like an island.  At noon, this land bore N. 8 E. the northermost land in sight N. 13 E. and Cape Hawke S. 37 W. Our latitude, by observation, was 32 deg. 2’ S. which was twelve miles to the southward of that given by the log; so that probably we had a current setting that way:  By the morning amplitude and azimuth, the variation was 9 deg. 10’ E. During our run along the shore, in the afternoon, we saw smoke in several places, at a little distance from the beach, and one upon the top of a hill, which was the first we had seen upon elevated ground since our arrival upon the coast.  At sun-set, we had twenty-three fathom, at the distance of a league and a half from the shore:  The northermost land then bore N. 13 E. and three hills, remarkably large and high, lying contiguous to each other, and not far from the beach, N.N.W.  As these hills bore some resemblance to each other, we called them The Three Brothers.  They lie in latitude 31 deg. 40’ and maybe seen fourteen or sixteen leagues.  We steered N.E. by N. all night, having from twenty-seven to sixty-seven fathom, at the distance of between two and six leagues from the shore.