_June 5._--We reached Falmouth. Upon meeting our old acquaintances in the Army of the Potomac, cheers upon cheers were heartily vociferated for Kilpatrick and the Harris Light, and our march was a continual ovation. The following quotations will show the consideration that was accorded to Kilpatrick's movements: "Colonel Kilpatrick, with the Harris Light Cavalry and the Twelfth Illinois Cavalry, left Yorktown at twelve o'clock Friday night, reaching Gloucester Point at one A. M., and Gloucester Court House at half-past five A. M., Saturday. They left again at eight o'clock, and at four P. M. on the same day arrived at Saluda, leaving there at half-past four Monday morning, and reaching Urbanna at half-past six A. M., where the wharves were found to be partially destroyed by fire. "The bridge on the Piankatank River, near Dragon Ordinary, had been destroyed by the citizens, and, as there were no fords, a squadron of the Twelfth Illinois swam their horses over the river, while another portion of Kilpatrick's command--the Colonel and his staff-officers assisting--constructed a floating bridge of felled trees and fence-rails in about half an hour, over which the remainder of the cavalry crossed in safety. "At Saluda the colors of the Twelfth Virginia Infantry were captured by the cavalry. From there the country was scoured for a distance of ten miles, resulting in the capture of horses, mules, and carriages, and in the emancipation of numerous slaves. "Between Montague and Bowler's Ferry the Rebel pickets were driven in as far as the barricades which they had constructed of felled trees, within three miles of the ferry. "Occasionally guerilla skirmishing was encountered on the road; but there was no fighting with any considerable force of the Rebels, though they had infantry and artillery at Kings and Queens Court House and about two hundred cavalry at Bowler's Ferry. "A letter from Stuart was intercepted, addressed to a secessionist named Fontleroy, in Middlesex County, assuring him that he would have a sufficient force of cavalry in that neighborhood by Sunday evening to relieve the anxiety of the people of the county and stop the raids of the Yankees. "Among the prisoners captured by Kilpatrick's cavalry was Captain Brown, of the Fifth Virginia cavalry, and the guerilla, Colonel E. P. Jones. The only man wounded was Orderly-Sergeant Northrup, of Company G, Harris Light Cavalry, who was hit with a buckshot-charge fired by a bushwhacker. "The transports Long Branch, William N. Frazier, Star, and Tallaca, under the command of Lieutenant-Colonel Dickinson, of General Hooker's staff, conveyed the cavalry and the captured horses and mules across the Rappahannock from Urbanna to Carter's wharf, six miles higher up than the former place, and subsequently conveyed the contrabands to Aquia Creek.