In consequence of light north-west and westerly winds, our approach was tantalizingly slow, and we did not enter the opening until the evening of the 9th, when we passed four miles from the north point, called by Captain King, Point Pearce. His visit to this part of the coast was in September 1819, and under very adverse circumstances; his vessel had but one anchor left, and the strong easterly winds then prevailing, with thick hazy weather, rendered his progress into the opening both difficult and hazardous: after a trial of two days, and having several narrow escapes from getting on shore, he bore away to examine the coast to the south-west, where he was repaid for his disappointment by the discovery of Cambridge Gulf. Thus did the exploration of this wide and interesting opening fall to our good fortune; as we proceeded inwards, several beautiful medusae passed the ship, and our hopes were roused to the highest pitch by the muddy appearance of the water. At sun set the anchor was dropped in five fathoms; Point Pearce, a cliffy level projection, bearing North-West by North five miles, and about one and a half from a low rocky point. FOSSIL HEAD. A bluff projection, bearing South 65 degrees East seven miles, bounded our view to the southward, and a range of sugarloaf hills, the highest being 350 feet, rose about eight miles in the rear of it. October 10. We were naturally very anxious to proceed, and as soon as there was sufficient light to read the division of the bearing compass, the ship was gently stealing onward in the direction of the bluff, and furthest land seen last evening to the South-East. We had not proceeded far before we discovered a distant level range, beginning to show itself to the right of this projection, adding still more to the zest with which we pursued our search. The tide, however, making against us, and the wind gradually failing, we were compelled to anchor abreast, and distant three quarters of a mile from the north-west point of a bay two miles wide. The bluff headland, before alluded to, forms the south-east point of this bay, and to which Captain Wickham and myself hastened instantly the ship was secured. We found a few fossils on the side of this ridge, as we ascended, which at once induced us to name it, Fossil Head. Our view was decisive of the fact, that all further progress eastward was at an end, but to the south sandbanks and patches of dark-coloured water bounding our view left still great hope. The high land terminated abruptly to the southward, whilst looking to the northward it appeared to subside in an East-North-East direction. The base of this range was fronted by a low piece of land, stretching out on its north-west side, and forming a point which bore South 35 degrees East five miles from Fossil Head. TABLE HILL.