Having, on our last expedition, found a good track to travel by, we were soon in the neighbourhood of the south branch of Broken-Bay, at which place one boat had been ordered to meet us, in order to save us by much the worst part of the journey.  We arrived at the head of Pitt-Water before eleven o’clock, but no boat appeared, which obliged us to walk round all the bays, woods, and swamps, between the head and entrance of this branch; by which, when we joined the boats, we were exceedingly fatigued; the weather being rather warm, and each person having his knapsack and arms to carry, this last part of our journey increased the distance from twelve or fourteen miles to about twenty-five; in the course of which we had very high and steep hills to climb, and many deep swamps to wade through:  by the time we joined the boats the day was too far advanced to think of proceeding any farther, we therefore pitched the tents, and occupied the spot which we had formerly done when here.

On Tuesday the 30th, we embarked in the boats at day-break, intending to reach as high up this day as possible; we passed Mullet Island, and proceeded into the river, and before night, we had advanced as far up as a point on which we had rested a night the last time we were here, and which was within three or four miles of the place, where we left off the pursuit:  here we slept for the night, and at day-light on the 1st of July we embarked, and after advancing a very little way beyond our farthest discovery, the river divided into two branches, one leading to the north-west, the other to the southward.

We took that which led to the north-west, and continued all day rowing up this arm, which was in general shoal water, from four to ten and twelve feet, and its breadth from about 20 to 40 fathoms; the banks of this branch were in general immense perpendicular mountains of barren rock; in some places the mountains did not reach the margin of the river, but fell back a little way from it, and were joined by low marshy points, covered with reeds or rushes, which extended from the foot of the mountains to the edge of the river.  At five in the evening, we put on shore, and raised our tents at the foot of one of the mountains, where we found a tolerable dry spot for that purpose; and in the morning of the 2d, we proceeded higher up, but this morning’s progress was a good deal retarded by many large trees having fallen from the banks, and which reached almost across the river; for here it was so narrow, that it hardly deserved that name.

By ten o’clock we were so far up, that we had not room for the oars, nor indeed water to float the boats:  we therefore found it necessary to return, and before noon we put on shore, where I took the meridian altitude of the sun, which gave our latitude 33 deg. 21’ south, and we judged, by the estimated distances marked in my sketch, that we were about thirty-four miles above Mullet Island.