Carra Tony, Sept. 13. The battle of Jast Tucsday, at this placo, was by far tho greatest and scverest yet fought in Western Virginia. ExSecretary of War, Floyd, commanded tbo rebels in peraon, and received a severe wound in the arm during tbc engagement. Tbc rebels had accurate adviue of our approaeh and exact strength, as appears lïom tbo papers found in their camp, and bad mado cvery preparatiou to resist an attack. Thcy had six regiments beside their intrenebments, with artillery sweeping all approacbos. Paring the whole engagement, lasting nearly four hours, we brougbt into aetion only live regiments, and of these butparts of three wcre long engaged, The rebels stationed expert riflemen to piek off officers, and fired spclter from their cannon - a missilo unknown to civilized warfare. Experiencedjuilitary men say tho roar of cannonading and musketry for a time was the heaviest they ever board, but the rebels fired mostly too high with their artillery. Their squirrel rifles did the most execution. Floyd should be surroundcd and his retreat to Lewisburg cut off. .An immense amount of personal property was found in tbc rebel camp, but only forae fifty wagon loads were tbought worthy of transportation, and ia tbis country tbo whole amount is hardly worth ten thousand dollars. Fears have been entertained tbat Floyd might malee a rapid march to Gaulcy Bridge and concéntrate with Wise in an attack on Cox, but he is now in no condition for a figbt anywhere. He bas over fivc huudred sick, and a strong detach ment spent an hour aud twenty minutes carrying off his killed and wounded, after the Cgbt, past the house wherc he had our prisoners conñned Wise bas been skinnishing with Cox, and bas uniformly been beatcn off with heavy loss. Cox is rcgarrled perfectly safe. Lee attaeked Ilcynoldsat Cheat Mountain Gap yesterday. Reynolds is strongly posted nnd bolievod ablo to defend himself. Floyd's scouts are still infesting the mountains on tbo opposite sido of Gaulcy, and guerilla firing is frequent on our messengers irom here to Sutton.