out under the Immediate command of Major St arte rant,of the Fifth New Hampshire, and they advanced, as also did the main line.As the skirmishers reached the edge of the woods, they found, the battery there located had retreated, and at the same got but a glimpse of the retiring infantry and cavalry which had been there stationed. Just after the skirmishers, w ho were well in advance, had entered the woods, and while the main body of our troops were some distance off, six of the transportation wagons were discovered making their way out of the woods into the road, at least half a mile from the extreme right of the line.Gen. Caldwell, having no cavalry' near at the time,sent at once to headquarters for a squadron, designing to employ them in capturing the wagons, but ere the cavalry sent for reached liie spot wliere they were want* ed, the wagons were well on their way southward.The column, following the skirrxiishers, continued on their way through the narrow belt of woods in front of them, into an open Held, through another belt of woods, and again out into another open fl«eld, where they drew up in line, being some two miles and a half from the place from which they had started where they remained until after eight o’clock, when they were relieved by the Sixth New York cavalry; the latter remaining upon the ground, acting as picket ridettes.The main body returned to camp, erriving about ten o’clock, and reporting no rebels wvithin foue miles of Charlestown. The a bore Is the account of the doings of the right wing.The report of the left wing, under Col Brooks, who as equally well did their duly, is but a repetition of the above, excepting upon the extreme left, which was under Lieut. Col. ililes, once a xpember of the Massachusetts, bu, as before stated, now in command of the consolidated* Sixty-first and Sixty-fourth regiments.Ilete more of the enemy’s cavalry were seen, and more difficulty was experienced in forcing them to retire. But retire they did, and with no loss totts. But one prisoner was taken, and he a lieutenant in a Virginia cavalry regiment, whose home wan within six miles of Charlestown.lie. some two or three days before*,had been granted a leave of absence, his tinivlxdng up yesterday; hut, kuow-ing nothing of what change had talcen place during his absence, he mounted his horse, anu!, taking a by e-path, rode towards the spot where his regiment bud been encamped, and, coining within our lines, he made the discovery that not only Ids regiment au*s not there, but thathe wlib within the union lines and lt;i prisoner.During the morning it w us supposed bv many that our stay was permanent, and that the force then at Charlestown would retain possession ; but soon afternoon orders were given, and the xroons immediately thereafter were quietly and slowly moving back to flue encampment at Bolivar Heights, which tbey reached without molestation or delay, soon after four o'clock this afternoon, having succeed in admirably and completely accomplishing all and more than they set out to do.icrntSECOND EDITION.