THURSDAY, SEPT. 24. An Englishman called at the court to-day, and desired me to issue a warrant for the apprehension of his mistress, who he said had run away and carried off a rich shawl and diamond breastpin which did not belong to her. I told him, when he entered into a criminal compact of that kind with a person, he might expect just such results as he had experienced,—and as for a warrant, I should issue none, and would not if she had carried off every thing in his house, and him too; for I should consider the community quit of two persons who could in no way benefit its morals. He looked not a little surprised at this decision, shrugged his shoulders, and departed. The first thing a foreigner does here is to provide himself with a horse; the second, with a mistress; the third, with a pack of cards. These, with a bottle of aguardiente, are his capital for this world and the next. This is true of many, but not all; there are some high and honorable exceptions. FRIDAY, SEPT. 25. The Congress left her moorings last evening, and held her course majestically out of the bay for San Francisco. Com. Stockton proposes, while there, to construct batteries which can command the entrance to the harbor, and afford protection to our merchantmen in the absence of our squadron. The new city will probably be located before his return. It is the point towards which all eyes are now turned. The tide of emigration is setting there with as much steadiness and strength as the rivers which roll into its capacious bosom. The day is coming when the spires of a great city will be mirrored in its waters. SATURDAY, SEPT. 26. The Indians here are practical Thomsonians or Hydropathists; they sweat for every kind of disease. Their bath is a large ground-oven, to which you descend by a flight of narrow steps, and which has a small aperture at the top for the escape of the smoke. In the centre of this they build a fire, close the entrance, and shut themselves in till the temperature reaches an elevation which throws them into a profuse perspiration. They then rush out and plunge themselves into a stream of cold water. This is repeated every day till the disease leaves or death comes. But many, without any ailment, resort to this bath as a luxury. They will stay in the oven till they are hardly able to crawl out and reach the stream. It is great fun for the more sturdy ones to lift out the exhausted and dash them in the flood. You hardly expect to see them rise again, but up they come, and regain the earth full of life and vigor. The reaction is instantaneous, and the effect, I have no doubt, in many cases beneficial. It, at least, gives them a good washing, which they would hardly get without, and which they too often need. The Indian also takes to the water to quench the flames of rum. His poor mortal tenement is often wrapped in such a conflagration. It would be a good thing if all the rum-drinkers could be marched once a week under the falls of Niagara.