Military News.—The 15th Ohio regiment participated in the late battle at Nashville, and contributed much towards achieving the brilliant victory. It captured a rebel battery of six guns. A dispatch from the regment states that the loss of the regiment is thirty men. Two men from this county—Camp, of Claysville, and McClen-ahan, of Fairview,—are slightly wounded.Lieut. Phillip Ogden, of the 26th Ohio, formerly of Cumberland, has been promoted to a Captaincy in his regiment.Adjutant Charles II. Moore, of the 97th Ohio, isat home on furlough.