Cíai ksburg, Va., 8ept. 22. A battle to"k place about 3 o'clnck, Tntsday uflernuon, ncar SummerviUe General Jiownms, after inuking recuiinoii"uiK-es, fouiíd Floyd" ariny 5,000 süong, wilh BÜÍtuen lield-piooo!, inlrenched }in a powerful poskfan on the ti of a mountain, at Carnx Forry, on the vvett sido oí Guuley Kivor. - The roar nnd cntranee of both Banks vero inaccis-i-iblc1, :md t lie front was imifked by heavy íorests and a close jungle. Colouel LyUiè'a Tenth üliio Hegiment, of Benham's brigade, wn in advance, and diove a sirong de'achinent of the enomy f-rotn this side of tho posilion, the size of' which was unknown. fchortly ifterwards liis fcoiití, consisting of íour coinpanies, suddenly discovered thetnstlves in thc face oí a parapet battery, and a long line of palimhIcs for riílemen, when (he batlle opened fiercely. Tho remainder of tho Tenlh and thc Thivteer.th Ohio wero lironght oto íiction sueeessivoly by (iencrnl Benhntn, nnd the Twelflh afterwards by Cnptain Hartsuff, w lioso object wbs nn armed veconnoisanco. The eneiny played upon our forco j terrifioally witn muskelry, rifles, canisler ud hhell, car.sing pomo casnnlties. Coloncl Lyltle led sevcral companie-s of bis Irish to charge tho batleiy, when lio as brought down by a shot in the leg. Siiiith'e Thirteenth Ohio cngnged the eneiny on the loft, and Golonul I.owe'u Twelflh ühio directly in front. Lo we feil dad at the had of his regiment early in tho hottest of the fire, by a ball in the forchead. McMullon's howitzcr battery nnd Snyder's two fïfld-pioccH meantime wero got i.-jto the best pngition possible undef tho cirouinstances, and soon silenced two of the rebels guns. The jire slackened at intervals, but grew more furious us night npproached, vvhen the Gennan brigade was led gal!rntly into action by Col. McOook, under the diroution of Adjutp.nt-Creneral Ilnrtstift', but af;er a furious fight oí three bo.ure, night compelled the recall oí the troop?, and the men laid on thoirarms withio a phort distance of tho enemy, each ready to resumo the contest nest morning. Floyd fled the night and Bunk the boafs in the river, and destroyod tho temporary bridge wliioh he tiad made when he first occupied the position. The tnrbulencc stid deplh of the river, and the exhaustion of the troops, made it impossible to folio w liim. Ue left his camp equipngo, wagons, horses, large quantitiea of ' niunit'on, and fiity hei-.d of cattle. I Our loss is fiftcen killed and about ieventy wounded, generally flesh wounds. The rebel loss is not aecertained, as they carried their dead and wounded with them, but it waa certiiinly serious. Captain McGroarty of Cincinnati, Capt. McMullen and Lieut. Snyder, of Ohio, are among the wounded, butnot dangerou.-ly. Twenty-fivo men of Col Tyler's, who were taken b}T Floyd at Cross Lanes, were re-captured, and Floyd 'a persona! baggage, wilh that of his oflicci!--, was Ui ken. Gen. Benbam's brigade, whioh snfforod most, wa.s coiijniandod by hini in peraon, and McCook led hi brigade. Generale Iïosecrans and Benbutn, Col. McCook, Col. Lyttle, Col. Lowe, Capt. Hartsuñ, Capt " Snyder, Captain McMullen, Major Bürko, of the Tenth Ohio, and other nficare, di-played conspicuous personal gallantry. The troops were exclusively from Ohio; ünd showed great bravery. Wasiiixgtox, Sept 12. The following is Gen. Rosecran's o(Eeial report : C-amfScott, Sepl. II. To Cul. E. D. ToVKtnro : " We ye8torday marchcd serenteen and a half miles and renched the encmy'i inttenched position in front of Confix Ferry, driving his advanced outposts and picket before us. We found hiui occupying a strongly intrenchcd position, covered by a forest too dense to adrait of its beiDg seen at a distance of thrce hundred yard?. His force was fivo rogiments besides the one drivcn in. " At thrce o'flock wc bogan a strong reconnoisanco whieh proceeded to such length that vc were about to assault the position on the flank and front, when, night coming on, and our troops being eompletely exhausted, I drew them out of the woods and posted them in the order öf battlo bchind ridges in front of tho cnemy'g position, where thny restcd on fheir arms till morning. Shortly afterwards a runaway contrab.ind carne in and reportod that the enemy had crossed thc (laulcy during tho night by means ot the Ferry and a bridge which they had complcted. Col. Ewing was ordored to take posession of the camp, which he did at about 7 o'clock, captunug a few prisoners two stand of colo;'s, a conlerablc quantity of arms, with Quartcrrij aster' stores, messing aud camp equipagc. " enemy have destroyed the bridge across the Qauloy which here rushes through a deep gorge, and our troops being still muoh fatigued, and having no material for immediately replacing the bridge, it was thought prudent to encamp the troops and occupy the ferry aud capturcd camp, sending a fe rifled oaanou shots after tho cucmy to produce a nioral effect. " Our loss will pvobnbly anw.uit to 20 killed and 100 wounded. The enemy'a lose has not been ascertainod, but from reports it secms it must havo been considerable. (Signcd) "W. S. ROSECRANS."