The case of the admission of General AMES as a senator from Mississippi came up. Senator CONKLING said that he had no objection to AMES in particular; but in Brigadier-General, he considered the principle of letting in men who elected themselves to be bad. Notoriously, General AMES did not live in Mississippi. He considered this rather creditable to General AMES'S good sense than otherwise. But did it not operate as a trivial disqualification against his coming here to represent Mississippi? Besides, if generals were allowed to elect themselves, where would it end? General AUGUR, he believed, commanded the Indian district. He would send himself to the Senate from that region, and be howling about the Piegan massacre and such outrages upon his constituents, with which the Senate had been sickened already. In that case AUGUR, he grieved to say, would be a Bore. Then there is CANBY, who commands in Virginia. CANBY would like to be a senator, no doubt, like other people who never tried it; and he will be if he CANBY. A distinguished friend of his in the other house, whom it would be detrimental to the public service for him to name, if this military representation were to be recognized, instead of sitting for a district in Massachusetts, would represent Dutch Gap. They had already, in his friend from Missouri, a representative of the German Flats; and he submitted that a member from Dutch Gap would be two tonic for the body politic. Mr. HOWARD was in favor of the admission of AMES. He considered the arguments of the last speaker paltry, and his puns beneath contempt. What difference did it make whether AMES represented Mississippi or not? Mississippi was disloyal, and didn't deserve to have any representative. AMES was a good fellow, and a good officer. Besides, he had been through West-Point and knew something. He understood he played a very fair game of billiards, and he would be an ornament to the Senate. Let us let him in. The Senate had already let in REVELS, who had been sent by AMES; and it was absurd to keep out AMES, who was the master of the REVELS. He considered that, in the language of a manly sport with which senators were familiar, he "saw" Senator CONKLING'S puns, and went several better, though he did not wish to be considered a better himself. All this time, singular to say, Senator SUMNER remained silent. HOUSE.