In short, by means of these repeated vollies, we drew nearer to that which answered us, and by hallooing all together, found we had got within hearing of the person who had answered our firing; for, after calling out, we listened attentively, and heard a very faint voice in answer; in that direction we walked, and at last, by frequent calling, and answering, we found the person out, who proved to be Peter White, sail-maker of the Sirius; who had been four days lost, and when he set out from the ship had not more than four ounces of biscuit with him, one ounce of which he had still left; he was very faint, and appeared to us to be stupid and almost exhausted, for he staggered like a man drunk; we took him with us, and by giving him such provisions as we had, in small proportions, he was in a few hours a good deal recovered; but I think if he had not been found as he was, in twenty-four hours more he would not have been able to make any farther effort to save himself, and must have perished where he lay down.

It is remarkable, that the flint of his gun being worn to a stump, he could not get fire out of it the whole of the day before, when trying to shoot some birds for his subsistence, until night came on, when it was necessary for him to have a fire to sleep by; he then tried it again with very little hope of succeeding, but contrary to his expectations he got a fire and sat by it the whole night; the next morning it failed him repeatedly, until he had occasion to answer our musquets, when it struck fire every time he wished to answer us, otherwise, in all probability, we should not have found him. This is exactly his own account.

In the end of August, the governor having expressed a wish to have a survey made of Broken-Bay and Botany-Bay, I offered to perform that service. The Sirius had some time ago been removed from Sydney Cove, to a cove on the north side of the harbour, much more convenient for giving her those repairs of which she now stood so much in need. The carpenter and his crew, who had been employed on shore upon the business of the settlement, ever since our return from the last voyage, were now ordered on board, to attend the repairs of the ship; a temporary wharf was built by the ship's company, and a piece of ground levelled to receive the provisions and stores: every person was now employed in lightening the ship, and in cutting down timber for the repairs wanted.

A survey upon the defects of the ship was ordered by Captain Phillip, and she was reported to be very weak in her upper works; several bolts were decayed under her wales, which occasioned her making much water at sea; and that it was absolutely necessary to examine as many of the butt bolts as possible: it was also thought necessary to fix seven pair of top riders on each side, to strengthen her upper works; various other defects were given in.

While the ship's company were employed in lightening the ship, and the carpenters were cutting down timber for riders and plank, I determined, before any thing material in the repairs was set about, to go round and make a survey of Broken-Bay: in this excursion I was accompanied by several gentlemen of the settlement; the boats were dispatched round, under the care of Lieutenant Bradley, by whom, and Lieutenant Ball, of the Supply, I was assisted in this work: the party went by land, but as I wished also to make a sketch of the coast between the two harbours, we determined to be two days on the journey, and to lye all night in the woods. After taking a sketch of the coast, we arrived at Pitt-Water, and joined the boats in the afternoon of the second day. We visited all those parts, which are navigable for shipping, and having before very particularly sounded and examined all the branches here, the business was finished in little more than a fortnight. Mr. Bradley returned with the boats, and we walked along shore to Port Jackson.

The entrance of Broken-Bay lies in latitude 33° 34' south, and longitude 151° 27' east; the bay is large and clear; the distance from north to south head, is two miles, and the depth is eight, ten, and twelve fathoms; but as you run up the bay it shoals to six, seven, and five fathoms. Just within the north head of the bay is the entrance of the northern branch, which, from the shoalness of the water, is only navigable for boats, or small vessels; the channel going in is very narrow, occasioned by a long spit of sand, which extends from a low sandy point on the west side of the entrance, and on which, when the wind is from the eastward, the sea breaks very high.

A little within the south head of the bay is the entrance of the Southern Branch or Pitt-Water; this is a good harbour, though the entrance is rendered rather narrow by a shoal bank, which extends from the eastern point full two-thirds across; keep the west shore on board, which is pretty bold, and is a high, steep, rocky point, and steer right up the branch; three fathoms is the most you will have at low water, and that depth is only in the narrows, which are of very short extent, for as you run up, you very soon deepen to four, five, six, and eight fathoms; to the shoal which narrows the entrance, it is very gradual soundings. When you are above the second point on the west shore, you have good depth of water and good room; you may run up in mid-channel without fear; both shores are pretty bold to, except off the points, from some of which it is shoal a small distance: in this branch there are several coves, in which a ship might lighten and careen; there is also fresh water in various parts of this harbour, with wood in abundance, and fish may be caught in all the sandy bays.

The entrance of this branch is divided from the south-west arm by several rocky points; the land over them high and steep; between which are some small sandy bays; and right off the mouth of this arm is a very high rocky island, of but small extent; its eastern end is very high and perpendicular; this island is a good mark, for any part of the bay may be known, with certainty, by the situation of it, which the chart will point out. If a stranger were coming in here for shelter in a gale of wind, I would recommend his pushing up the south-west arm, and steering in for the island, which is now called Mount Elliot, from its similarity to the north end of Gibraltar Rock.