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.
Grant, however, had to contend with many difficulties in both voyages.
First and foremost he had to face the risk and dangers of an entirely new coast, and this without a companion ship.

King was aware of this for he wrote to Banks: "It is my intention to despatch the Lady Nelson to complete the orders she first sailed with.

I also hope to spare a vessel to go with her which will make up for a very great defect which is the utter impossibility of her ever being able to beat off a lee shore." It is, therefore, well to remember that although Grant did not enter Port Phillip he was the first to see the indentation in the coast within which Port Phillip lay hidden.
Grant had been instructed by the Admiralty to join H.M.S.Supply at Sydney.

On his arrival he found this ship laid up as a hulk and unfit for sea.