Of his coming to Sydney, Grant writes, "Governor King had taken the precaution of leaving a letter for me at the Cape, describing the particular marks for knowing the entrance of the Port, which no doubt saved us much trouble. They consisted of a flagstaff erected on the South Head or left hand side of the entrance, and when vessels are seen the flag is hoisted. This land being high may be seen at a considerable distance on a clear day. In the afternoon of the 16th saw the flagstaff as described by Governor King. At six in the evening we entered between the Heads of Port Jackson. We found much swell in going in but were soon in smooth water and an excellent harbour, perhaps one of the finest in the known world. As the wind was from the south and contrary to getting into Sydney Cove we were obliged to beat up to it, and at half-past seven in the evening (on Tuesday December 16th) we let go our anchors in 8 fathoms water after a voyage of 71 days from the Cape of Good Hope, and with the satisfaction of being the first vessel that ever pursued the same track across that vast ocean, as we have no traces of its being done particularly from the Island of Amsterdam, namely; between the degrees of latitude 38 and 39 1/2 degrees south until the Lady Nelson made the coast of New Holland in latitude 38 degrees and steering to the eastward along a tract of land nearly four degrees to the westward of any seen by Messieurs Flinders and Bass." Following the example of many a first discoverer, he ends the account of his voyage with an expression of thankfulness to God for the protection shown him "during the whole passage." The Lady Nelson's arrival at Sydney gave great satisfaction to the colony, and Colonel Collins remarks that a few such vessels were much needed there in order to obtain a necessary knowledge of the coast. Governor King naturally was most interested in Grant's description of his passage through Bass Strait, and the news that the Lady Nelson had passed deep indentations with beautifully wooded shores and rocky islands lying off them pleased everybody. But King did not conceal his disappointment that her commander had been unable to land anywhere or to penetrate the deep bay called Governor King's Bay. The Admiralty had instructed the Governor to have the whole of the south coast properly charted, and he determined that Grant should return in the Lady Nelson and thoroughly survey it. King also made an eye-sketch of the land, for he saw that Grant's chart was imperfect. For that reason he sent Ensign Barrallier, of the New South Wales Corps, who was a competent surveyor, in the brig, and it is, chiefly, to Barrallier we are indebted for our earliest and most authentic charts of the places which the Lady Nelson visited in the second voyage.