At day-light in the morning it was so foggy, that we were obliged to defer our departure from this situation until ten o'clock, when the influence of the sun dispelled the mist, and we continued our course upwards, still finding good depth of water and strong tides; both which we considered as indications of a considerable river. The whole of this day was employed in exploring and making what progress we could; the ebb tides we observed thus far up were considerably stronger than the floods, and the water had very little the taste of sea water; indeed, it scarcely could be called brackish. We continued going up until the evening, when it was found impossible, at this time, to make any farther discovery; our provisions being nearly expended: we filled our water-casks, where we gave up the pursuit, and there, although the tide was high, the water was perfectly fresh. The general depth of this river was from three to seven fathoms, and its breadth was from 100 to 300 fathoms. There are some shoals, but they generally extend from low mangrove or marshy points. Its general direction, as far as we were up, is to the north-west. We were, when farthest up, about twenty miles from the entrance of the south-west arm of Broken-Bay. The banks of the river, on the lowest part, had many mangrove trees along it; higher up, reeds grew along its margin, and behind these reedy banks were immense perpendicular hills of barren, rocky lands, with trees growing from between the rocky cliffs; the depth of the river, when we were highest up, was six and seven fathoms. We were so anxious to prosecute this discovery, that we did not think of returning until it was near dark; and in our present situation, there was not a spot on which we could erect a tent, so very steep were the shores, except where they were marshy. We pushed down as fast as possible, in order to find a landing-place, before it should be very late; and soon after dark, we put a-shore on a parcel of rocks, which was, indeed, the only spot near on which we could find room for our tents, and here we passed the night. The morning of the next day was again foggy, until the sun had sufficient power to disperse it; we then returned down the river, and as the wind was fair, and blew fresh, we sailed down, and in the afternoon arrived in the south branch, or Pitt-Water, fixed our tents for the evening, and caught some fish, in order to spin out our provisions. Our female friend had left this place.