Stoncman's Niht-Hawks. Editor National Tribune: In reading your excellent paper for several years, I have never seen any account of that littlo squad of mon, kuow a3 Stononian's-Night-Hawks. What has becomo of a band of 3,500 cavalry and four pieces of tho 1st Ky. L. A. that loft Knoxville, Tenn., on the 12th day of March, 18G5, with a forlorn hopo to march right in between tho two great armies of B. E. Leo and Joe Johnston when it was supposed thoy intended uniting their forces? In all of tho books and papers I have read since the war I have never seen a full account of that raid. I will lay in a claim that it was tho longest and most successful raid that was mado during tho war by tho samo number of men. Wo passed through East Tennessee, North Carolina ;tthen north into Virginia; then south across North Caroliua, South Carolina, Georgia, Alabama ; thon back near Knoxvillo. I am not prepared to give an official account of it, but according to my diary wo marched 3,000 miles, and wero in tho saddle 78 daysand received tho namo of Stoneman's. Night-Hawks in North Carolina, where thoy said, we never halted to eat or sleep, which was as noar tho truth as thoy could get. Our command was composed of First Brigade, 15th Pa. Cav., 12th Ohio Cav., 10th and 11th Mich. Cav.; Second -Brigade, Kentucky cavalry; Third Brigade, East Tennessee cavalry. G. W. Lyman, Co. E, 12th Ohio Cav., Corwith, Iowa.