On the 24th, the wind shifted to the eastward, and the weather was more moderate, but on the 27th, it again got to the westward, blowing strong, and in violent squalls, attended with snow and hail. A great number of albatrosses, blue petrels, and sheerwaters were about the ship; a high, irregular sea caused her to labour much, and she made a deal of water in her topsides. The latitude, at noon, was 57° 32' south, and 245° 42' east longitude. On the 29th, the longitude, by the time-keeper, was 259° 16' east, and by account 256° 50' east; at the same time the latitude was 56° 30' south. The wind was still to the westward, attended with very heavy rain. In the morning of the 31st, the wind blew strong from the northward. Great numbers of gulls were about the ship, and we passed a deal of rock-weed.

During the 1st and 2d of January, 1792, the wind was variable, frequently shifting from north-north-west to west-south-west and south-east by east. At noon on the 3d, we were in 56° 15' south latitude, and 281° 57' east longitude. The next forenoon, we saw a seal, and had a number of albatrosses about the ship: we now had strong gales from the north-east quarter, attended with snow and sleet. A heavy squall came on in the morning of the 5th, and in hauling down the main-top-mast staysail, the brails broke, and the sail was blown in pieces, the greatest part of which fell overboard before it could be got down and stowed.

In the afternoon, we saw several gulls, a seal, and some shell-drakes. At noon on the 6th, we saw Cape Horn, bearing west-south-west half west, and the northernmost land in sight, west half south, distant six or seven leagues. At that time, our latitude was 56° 02' south, and the longitude 291° 45' east. At eight o'clock in the morning of the 7th, we saw Staten Land, bearing from north by west to north-west by west half west, twelve or thirteen leagues distant: at noon, the north point bore north, a little westerly, distant about eight leagues. In the afternoon, several whales were seen near the ship, the body of Staten Land then bore south-south-west. The wind, which for some days had been to the southward, shifted, in the morning of the 8th, to north-west, with a moderate breeze and fine weather. In the afternoon, we passed some pieces of sea-weed, amongst which was a seal; we also saw another seal and some penguins: several whales and large flocks of blue petrels were about the ship. The next forenoon, we passed some sea-weed and a number of penguins; on which we sounded, but got no ground with 100 fathoms of line. Our latitude, at noon, was 52° 58' south, and longitude, by the time-keeper, 296° 13' east. We sounded again in the evening, but got no ground with 145 fathoms of line. At midnight, we had a calm for about two hours, the weather thick and foggy, with thunder and lightning to the southward.

Early in the morning, the fog cleared a little, and a light breeze sprung up from the northward. Many seals and whales were about the ship; and in the afternoon, we saw a number of penguins. At eight o'clock in the evening we sounded, and had 96 fathoms of water, over a bottom of fine sand and mud. During the night, we had moderate breezes from the southward, attended with small rain. In the forenoon of the 11th, we saw a great number of whales, and several penguins. During the afternoon and night, we had strong gales from the southward, attended with frequent squalls. The next forenoon, we saw several large patches of sea-weed: the wind still continued to blow very strong from the southward, which occasioned a high sea; and the ship rolling very much, occasioned her to make a deal of water in her upper works. In the morning of the 13th, the weather grew more moderate: we saw a port Egmont hen, and several pieces of rock-weed. At noon our latitude was 45° 46' south, and the longitude 302° 49' east.

On the 15th, the weather grew moderate, the wind to the northward. Some observed distances of the sun and moon on the 16th, gave 305° 46' east longitude; the latitude at that time was 42° 34' south. In the afternoon of the 17th, we had a strong appearance of a current, and passed a large number of whales. The next day, the water being discoloured, we sounded with 160 fathoms of line, but got no ground. The wind still kept to the northward, with moderate breezes and fine weather.

Essence of malt and vinegar were served to the ship's company on the 24th, and every precaution was taken to preserve their health. In the evening, we had much lightning to the northward: the wind blew fresh from the north-east, and we had frequent heavy squalls attended with rain. Towards noon on the 26th, the wind grew light and variable: the latitude was 32° 20' south, and the longitude 311° 02' east. In the evening, we had much lightning to the northward: towards midnight, a fresh breeze sprung up from the south-east.

The next forenoon, we saw a turtle and several flying-fish; and at six o'clock in the afternoon, we saw a brig to the northward, and soon afterwards spoke with her. At six o'clock in the morning of the 28th, we saw the land bearing from north-west to west-south-west. We sounded in 26 fathoms of water, over a bottom of soft mud. At eight o'clock, some high level land bore west half south, eight or nine leagues distant. I ordered the jolly-boat to be hoisted out, and we tried the current, which was found to set north-east by north, at the rate of half a mile an hour, or nearly. At noon, we had clear soundings in 24, 22, 20, and 18 fathoms over a bottom of fine brown sand and mud. At six o'clock, we tacked, the extremes of the land bearing from south-west to north by east; the nearest land about four miles distant. During the night, we had regular soundings from 13 to 25 fathoms.

The next morning, we tacked and stood towards the land, with light variable winds. At noon, the extremes of the land were from north to south 50° west; the nearest land about ten miles distant. In the afternoon, we saw a large turtle; and at three o'clock, we sounded in 19 fathoms, over a muddy bottom. At six o'clock, the nearest land bore north by west half west, about three leagues distant. During the night, we had a light breeze from the westward: we frequently sounded, and had from 17 to 23 fathoms water.

At noon on the 30th, the nearest land bore north 75° west, eight or nine miles distant. We stood along shore, with a light breeze at south-south-east; and at sun-set, the land bore from north 32° west to south 50° west. The next morning, we steered along the island of St. Catherine; and at four o'clock in the afternoon, were abreast of the Fort of Santa Cruz.

I sent an officer on shore to the fort, and soon afterwards we anchored in five fathoms water; the fort of Santa Cruz bearing north-north-west, and the opposite fort north-east. We saluted the fort with nine guns, which was returned by an equal number. The next morning, we weighed, and anchored nearer to the watering-place; mooring the ship with a cable each way, (north-east and south-west) in three fathoms and a half, over a muddy bottom. In this situation, the fort of Santa Cruz bore north-north-east, the opposite fort, south-east; the point to the southward of the watering-place south-west, and the watering-place west, half a mile distant.