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.

The governor was now determined to return as fast as possible to Port Jackson, and, after resting a few days, to prosecute this useful discovery to its source. We struck the tents at night, and embarked them in the boats; for, as the wind was northerly, it was intended they should sail at midnight; a wigwam was made to shelter us during the night, and a large fire before it, by which we lay till day-light. The boats having sailed in the night, we set off at dawn of day in the morning by land; we found an easier path than that by which we came, and arrived at the north cove of Port Jackson by two in the afternoon, where the boats were already arrived.

In our journey we fell in with several dead bodies, who had probably fallen by the small-pox, but they were mere skeletons, so that it was impossible to say of what disease they died.

Boats were upon our arrival immediately ordered to be prepared, and provisions got ready for another excursion, the same party being engaged to go again, and, if possible, trace this river to its source. As far up as we advanced, I made an eye sketch of it.

On Sunday the 28th of June, the boats being ready, provisions embarked, and the wind fair for another visit to Broken-Bay, they sailed before day-light on Monday morning; the party engaged to go by land were put on shore at the north part of the harbour at six o'clock; the same gentlemen who were on the former expedition were on this also, and an addition of five marines; on the whole, our numbers amounted to about forty, including those in the boats: we were all well armed, and capable of making a powerful resistance, in case, as we advanced up the river, we should find the interior parts of the country well in-habited, and the people hostile.

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° 21' south, and we judged, by the estimated distances marked in my sketch, that we were about thirty-four miles above Mullet Island.

At the place where we passed the last night we were examining the ground round us, as was customary wherever we placed our tents for the night; and about half a mile distant, some of the gentlemen found a small hut; they saw a person whom they took for a native woman, and who, upon our approach, fled with great precipitation into the woods. They went to examine the hut, and found two small helpless children in it; the poor little creatures were terribly frightened, but upon their being kindly treated, they seemed to recover a little from their fear. They appeared to be in great distress, apparently for want of food; they had a little fire by them, and in it was found a few wild yams, about the size of a walnut: upon a supposition that the parents of these children would soon return, after our leaving the place, a hatchet and some other trifles were left in the hut.