We halted on the beach, the South Brother bearing W. 32. N., and the Reef N. 53 1/2. E., and which we now saw extended near three quarters of a mile north and south, and lying two marine miles from the shore. It appears dangerous, since in fine weather (as to-day) the north part of the reef only breaks occasionally. October 19.--Proceeded on our journey up the coast: on attempting to cut off a point of land which would have saved us a distance of some miles, we found that the low part of the country was an entire fresh water swamp, interspersed with thick barren brushes, in all respects resembling the country between Sydney and Botany Bay. We therefore returned again on the beach, and crossing nearer to the point in question found the remains of a hut, which had evidently been constructed by Europeans, the saw and axe having been employed on it. About four miles farther on the beach, towards Cape Hawke, our progress was stopped by a very extensive inlet, the mouth of which was nearly a mile wide. It was near high water, and the sea broke right across with tremendous violence, affording us little hope, circumstanced as we were, of being able to effect a passage. As we had always experienced the difficulty, not to say impracticability of attempting to go round such inlets as these. we stopped about half a mile inside the entrance, on a spot affording good grass and water for the horses, the greater part of which were entirely knocked up; insomuch that I began to fear we would take very few of them to Newcastle. It being early in the day, a party proceeded to explore the shores of the inlet, to ascertain if it was possible for us to proceed round it. After several hours' examination, and walking from six to eight miles, we were obliged to give up all intention of proceeding circuitously; and found that our efforts must be directed to effect a passage near the entrance, since numerous fresh water runs having their source in deep and impassable swamps or lagoons, presented an insurmountable barrier to the horses. The main inlet extended in two wide and extensive branches to the south-west and west, the termination of which could not be seen, the water being apparently deep; and the country to the westward rising into forest hills. In this perplexing situation, with no other prospect before us but that of effecting our own passage in a bark canoe, and being obliged to leave the horses behind us; since the width of the channel (which at low water we had the satisfaction to perceive did not exceed a quarter of a mile) and the extreme rapidity of the tide, which ran at the rate of at least three miles per hour, precluded all reasonable hope that, in their present weak state, they would have strength to swim over. In this state, the boat which had been washed on the beach suddenly occurred to us. It was true that we were twelve or fourteen miles distant from it, and that we should have to carry her that distance