From the time of our departure, on the 11th of May, from Woahoo, nothing of importance transpired till the 12th of June. On the morning of this day we discovered the Island Toobowy; and at 9 o'clock saw a sail, which proved to be a whale ship. At half past 2 came to anchor at a convenient place near the Island, and sent a boat ashore, which returned at night with two natives, who gave us a description of the harbour, and directions how to enter it; and as our mainmast was injured, we entered it to make the necessary repairs. On the 13th, we beat up the harbour, and at 3 o'clock anchored, where we continued repairing our mast, and procuring wood and water, till the 22d; when we weighed anchor and made sail for Valparaiso, favoured with fine weather and good winds. July 18th, made the Island of Massafuero, and passed it about midnight. On the 19th, in the forenoon, made the Island of Juanfernandez; and at 11 P. M. on the following day, discovered the land at the south of Valparaiso. On the 22d, beat up the harbour, and at 2 o'clock on the morning of the 23d, came to anchor.--At Valparaiso, we learned that the frigate United States was at Callao; and after getting a supply of provisions, we sailed for Callao on the 9th of August, and arrived on the 24th. Here we found the United States, lying under the Island of Lorenzo, with several English ships of war. On the 26th, the Dolphin in company with the United States, passed over to Callao; and Sept. 1st, I and the crew of the Dolphin were transferred to the United States. Sept. 10th. All the men that had been transferred from the Dolphin to the United States, had liberty to go to Lima; at 12 o'clock we went on shore, and at 4 P. M. entered the gates of the city. I employed my time while on shore, in roving about the city, and viewing the various objects it presents; and on the 13th returned on board the United States. We were detained here till the 16th of December, when we sailed for Valparaiso, and having a pleasant passage, arrived on the 6th of January, where we were happy to find, for our relief, the Brandywine. From the 8th to the 24th, all hands were engaged in preparing the ship for her homeward voyage; when at 9 o'clock we weighed our larboard anchor, and at 1 P. M. were under sail, passing out of the harbour, when the Cambridge, (an English 74,) then lying in the harbour, gave us 3 cheers, which we returned with 3 times 3; she then saluted us with 13 guns, which we returned with the same number, and then proceeded to sea.