On the 7th Lieutenant Ball returned from Norfolk Island, and from an unsuccessful cruise of nearly six weeks in search of the island and shoals for which he was directed to look. He sailed over the identical spot on which Mr. Shortland had fixed the latitudes and longitudes of his island and his shoal, without seeing either, and therefore concluded, that they had not been placed far enough to the northward. The error might have lain in copying the account from his log-book into his letter. From Norfolk Island Lieutenant King wrote, that he had cleared seventeen acres of ground upon the public account, all of which were either sown or ready for sowing; that caterpillars had done much damage to some wheat which had just come up; and that he was erecting a storehouse capable of containing a large quantity of stores and provisions, and had made a visible road from Sydney Bay to Cascade Bay. The pine trees, of the utility of which such sanguine hopes had been entertained, were found to be unfit for large masts or yards, being shakey or rotten at thirty or forty feet from the butt; the wood was so brittle that it would not make a good oar, and so porous that the water soaked through the planks of a boat which had been built of it. Mr. King also lamented their ignorance of the proper mode of preparing the flax plant, which rendered it useless to them. A single pod of cotton had been found on the island, and a tree had been discovered, the bark of which was strong, and of a texture like cotton. A species of bird also had been met with, which burrowed in the ground, and had been seen in such numbers about the summit of Mount Pitt, the highest hill on the island, that they were contemplated as a resource in any future season of distress, should they be found to visit the island at stated periods, and to deposit their eggs on it. Mr. King spoke well of the general behaviour of the subjects of his little government since the detection of their late scheme to overturn it.