The city stands on two plains: one called the bottom, extends about 260 yards back from the river, and is three miles in length, from Deer Creek to Mill Creek; the other is fifty feet higher than the first, and is called the Hill; this extends back about a mile. The bottom is sixty-five feet above low water mark. In 1815 the population was estimated at 6000, and at present it is supposed to be upwards of 25,000 souls. By means of the Dayton canal, which runs from that town nearly parallel with the "Big Miami" river, a very extensive trade, for all kinds of produce, is established with the back country. Steamers are constantly arriving at, and departing from the wharf, on their passage up and down the river. This is one of the many examples to be met with in the western country, of towns springing into importance within the memory of comparatively young men--a log-house is still standing, which is shewn as the first habitation built by the backwoodsman, who squatted in the forest where now stands a handsome and flourishing city. On arriving at Cincinnati, I learned that my friend T---- had taken up his abode at a farm-house a few miles from town, where I accordingly repaired, and found him in good health, and initiated into all the manners, habits, customs, and diversions of the natives. Farming people in Ohio work hard. The women have no sinecures, being occupied the greater part of the day in cooking; as they breakfast at eight, dine at half-past twelve, and sup at six, and at each of these meals, meat, and other cooked dishes are served up. In farming they co-operate with each other. When a farmer wishes to have his corn husked, he rides round to his neighbours and informs them of his intention. An invitation of this kind was once given in my presence. The farmer entered the house, sat down, and after the customary compliments were passed, in the usual laconic style, the following dialogue took place. "I guess I'll husk my corn to-morrow afternoon."--"You've a mighty heap this year."--"Considerable of corn." The host at length said, "Well, I guess we'll be along"--and the matter was arranged. All these gatherings are under the denomination of "frolics"--such as "corn-husking frolic," "apple-cutting frolic," "quilting frolic," &c.