Only two varieties of dancing were introduced the first evening, the trotting dance and the fish dance. The figures of either are exceedingly simple, and but slightly different from each other. In the first named, the dancers all move round a circle in a single file, keeping time in a sort of trotting step to an Indian song of yo-ho-ha, or yo-ho-ha-ha-ho, as sung by the leader, or occasionally by all conjoined. In the other, there is the same movement in single file round a circle, but every two persons, a man and a woman, or two men, face each other, the one moving forward, the other backward, and all keeping step to the music of the singers, who are now, however, aided by a a couple of tortoise or turtle shell rattlers, or an aboriginal drum. At regular intervals there is a sort of cadence in the music, during which a change of position by all the couples takes place, the one who had been moving backward taking the place of the one moving forward, when all again move onward, one-half of the whole, of course, being obliged to follow on by dancing backwards. One peculiarity in Indian dancing would probably strongly commend itself to that class among pale faced beau and belles denominated bashful; though, perhaps, it would not suit others as well. The men, or a number of them, usually begin the dance alone, and the women, or each of them, selecting the one with whom she would like to dance, presents herself at his side as he approaches and is immediately received into the circle. Consequently, the young Indian beau knows nothing of the tact required to handsomely invite and gallantly lead a lady to the dance; and the young Indian maiden, unannoyed by obnoxious offers, at her own convenience, gracefully presents her personage to the one she designs to favor, and thus quietly engages herself in the dance. And moreover, while an Indian beau is not necessarily obliged to exhibit any gallantry as towards a belle till she has herself manifested her own good pleasure in the matter; so, therefore, the belle cannot indulge herself in vascilant flirtations with any considerable number of beaux without being at once detected. On Thursday the religious ceremonies commenced, and the council from the time it assembled, which was about 11 o'clock A. M., till 3 or 4 o'clock P. M., gave the most serious attention to the preaching of Jimmy Johnson, the great high priest, and the second in the succession under the new revelation. Though there are some evangelical believers among the Indians, the greater portion of them cherish the religion of their fathers. This, as they say, has been somewhat changed by the new revelation, which the Great Spirit made to one of their prophets about forty-seven years ago, and which, as they also believe, was approved by Washington.