Beyond Carondalet, the country has the appearance of a grown-up heath. It is a bushy uninviting tract, without mature forest trees. The most interesting feature we saw, consisted of a number of regular depressions, or cup-shaped concavities in the soil, caused by the passage of springs over a clay basis, upon which there is deposited a heavy diluvial stratum of sand, mixed earth and pebbles. Within about three miles of the city, this heathy and desolate tract began to assume a cultivated character; dwellings and gardens soon succeeded, and we found ourselves, by almost imperceptible grades, introduced into the city, which we reached about four o'clock in the afternoon. On entering its ancient Spanish barriers, we noticed one of the old stone towers, or defences, which constituted a part of the enclosure. This town, I afterwards learned, had been regularly walled and fortified, during the possession of the country by the Spanish crown. As soon as I had taken lodgings, I called on R. Pettibone Esq., a friend formerly of Vernon, in western N.Y. who had established himself in this central city of the west, in the practice of the law; he was not in, at the moment, but his family received me with cordiality. He returned my visit in the evening, and insisted on my taking up my quarters at his house. The time that I spent here, was devoted to the most prominent objects which the town and its vicinity presented to interest a stranger, such as the private museum of the late Gen. Wm. Clark, containing many articles of rich and valuable Indian costume; the large natural mounds above the city, and the character of the rock formation along the shores of the river, which was said to have had the impressions of human feet, on its original surface. The latter I did not see till the summer of 1821, when the block of stone containing them was examined in Mr. Rapp's garden, at Harmony, on the Wabash. My inclinations having led me, at this time, to visit the extensive lead mines, southwest of this city, on the waters of the Merrimack, I lost no time in retracing my way to Herculaneum, by descending the Mississippi.