Military Execution.Private Hiram Reynolds, company H. MM Indiana Volunteers, was executed at noon yesterday, in the yard of the Penitentiary. The prisoner had been tried by military courts, for the wilful murder, in May last, of W ashing ton Mosier, a member of the same company and regiment. The sentence was ’ ordered to be carried out on Friday last, but the prisoner, by special orders of Gen. Kose-crans, was reprieved until yesterday. Capt. Alexander of the 7th Kentucky Cavalry was ordered to superintend the execution. 1At 11 o’clock wc found the grounds and housetops near the Penitentiary thronged by soldiers, citizens, boys, and a few females, eagerly viewing the solemn scene.The gallows was erected in the yard of the prison, and at a quarter to twelve, the soldiers detailed to witness the punishment, formed in a hollow square, around the fatal tree, and at nearly the same moment the prisoner was led forth. He was accompanied by several chaplains, and a guard of members of his own company. Reynolds was dressed in the regulation blue pants, barefooted, and in his shirt sleeves, and walked to the scaffold with great apparent self-possession.After mounting the platform, and while standing on ibe drop, Rev. M. Ewing read selections froi n the Scriptures, and was followed by Cha plain Atkinson, delegate of the Christian Commission, in a fervent and impressive pray or, which was frequently interrupted by the culprit’s supplications for mercy, and has belief that he had made his peace with God.At the conclusion of the prayer, the priso-' ner addressed a few words to his comrades, begging them to shun the intoxicating cup, as that alone had brought him to the scaffold, and through the effects of liquor he bad killed his felllt; iw-soldier, a man against whom lie bore u o malice, and for that crime he was then to suffer death. lie warned his comrades to profit by his sad example, and hoped for forgiveness, through Jemis, the Saviour of sinners. After bidding farewell to his spiritual advisers, his arms were i pinioned, the white cap drawn over his face,1 and at precisely twelve o’clock, Captain Alexander severed the rope, the drop fell, and the soul of Hiram Reynolds passed into ctcr-1 nity. |The prisoner eoiufmued praying iu a loud I voice alter his face was bandaged, and died with a prayer upoi i his lips. Reynolds was a line looking man, six feet high, and about thirty-dive years o^id. We understand he leaves a wife and V wo children in Indiana.Nashwlle Dispatch, 19/A.