The rising wind prevented an entrance into Cumberland Bay, and after cruising about for an entire day, Carteret was obliged to content himself with reaching Mas-a-Fuero. But he met the same obstacles, and the surge which broke upon the shore interfered with his operations, and it was only with the utmost difficulty that he succeeded in shipping a few casks of water. Some of the crew, who had been forced by the state of the sea to remain on land, killed guinea fowls enough to feed the entire crew. These, with the exception of some seals and plenty of fish, were the sole result of a stay, marked by a succession of squalls and storms, which constantly placed the ship in danger.

Carteret, who, owing to unfavourable winds, had had several opportunities of noticing Mas-a-Fuero, corrected many of the errors in the account of Lord Anson's voyage, and furnished many details of inestimable use to navigators.

On leaving Mas-a-Fuero, Carteret steered northward in the hope of meeting the south-eastern trade wind. Carried farther than he had counted upon, he determined to seek St. Ambrose, and St. Felix Island, or the island of St. Paul. Now that the Spaniards had taken possession of and fortified Juan Fernandez, those islands might be of great value to the English in the event of war.

But Mr. Green's charts and the "Elements of Navigation" by Robertson did not tally as to their situation. Carteret, having most confidence in the latter work, sought for them in the north, and failed to find them. In re-reading the description given by Waser, Davis' surgeon, he thought these two islands were identical with the land met with by that filibuster, in his route to the south of the Galapagos Islands, and that Davis' Land did not exist. This caused a double error, that of identifying St. Felix Island with Davis' Land, and of denying the existence of the latter, which is in reality Easter Island.

"At this parallel," says Carteret, that is in 18° west from his point of departure, "we had fresh breezes, and a strong northerly current, and other reasons for conjecturing that we were near Davis' Land, which we were seeking so carefully. But a stiff breeze rising again, we steered quarter S.W. and reached 28½° southern latitude, from which it follows that if this land or anything answering to it exists, I must infallibly have fallen in with it, or at least have seen it. I afterwards remained in 28° south latitude, and 40° west of my point of departure, and as far as I can conjecture 121° west London."

All the navigators combined in insisting upon the existence of a southern continent. Carteret could not conceive that Davis' Land was but a small island, a spot lost in the immensity of the ocean. As he found no continent, he decided upon the non-existence of Davis' Land. It was precisely in this way that he was misled.

Carteret continued his search until the 7th of June. He was in 28° south latitude and 112° west longitude, that is to say, he was in the immediate neighbourhood of Easter Island. It was still the depth of winter. The sea ran continually high, violent and variable winds, dull, foggy, and cold weather was accompanied by thunder, rain, and snow. No doubt it was owing to the great darkness, and to the thick fog, which hid the sun for several days, that Carteret failed to perceive Easter Island, for many signs, such as the number of birds, floating seaweeds, &c., announced the neighbourhood of land.

These atmospheric troubles again retarded the voyage, in addition to which the Swallow was as bad a sailer as possible, and one may guess at the weariness, the preoccupation, even the mental suffering of the captain, who saw his crew on the point of starvation. But in spite of all, the voyage was continued by day and night in a westerly direction until the 2nd of July. Upon this day land was discovered to the north, and on the morrow, Carteret was sufficiently close to recognize it. It was only a great rock five miles in circumference, covered with trees, which appeared uninhabited, but the swell, so prevalent at this time of year, prevented the vessel coming alongside. It was named Pitcairn, after the first discoverer. In these latitudes, the sailors, previously in good health, felt the first attacks of scurvy.

Upon the 11th, a new land was seen in 22° southern latitude, and 145° 34' longitude. It received the name of Osnaburgh in honour of the king's second son.

Next day Carteret sent an expedition to two more islands, where neither eatables nor water were found. The sailors caught many birds in their hands, as they were so tame that they did not fly at the approach of man.