We publish elsewhere in this Leader an interesting letter from a member of Capt. Skinner's Company in the 3rd Ohio Cavalry. The majority of this company are from this county. WILLIAMS COUNTY LEADER June 12, 1862. LATEST FROM CORINTH Army of the Ohio, Headquarters 6th Division, Camp Near Corinth, Miss. June 5th, 1862. Mr. Sherwood, Dear Sir: Having a little leisure time and thinking that the readers of your paper would like to hear from this part of Secessdom, I write you. Probably before this reaches you, your readers will have heard all about the evacuation of Corinth. Weeks ago the papers had considerable to say about Corinth being evacuated, but the evacuation did not take place until the 30th of May. Gen's. Pope, McCook and Wool had been shelling the rebels pickets and skirmishers for several days previous, they got (the rebels) sight of our breastworks, and I presume they thought we had plenty of Artillery and siege guns, and thinking we were getting most too close for their safety, true to their instincts they got up very early the morning of the 30th and dusted. Gen. Nelson's Division being on the alert, thought that there was rather more noise than usual, called his men into line and got them ready for marching, they did not wait long, for it soon became evident that Secesh were leaving. The Artillery soon got ready and gave them a parting salute, which was answered by the explosion of their Magazine. Gen's. Nelson, Pope and Thomas followed up their retreat, and engaged them about five miles from Corinth on the Memphis & Charlestown Railroad. They were still fighting this morning, with what success I am unable to learn. It is reported that their retreat had been cut off by the burning of a bridge on the R.R. leading to Memphis, if that be true, the cowards will have to fight or surrender. For the last two weeks a great many deserters have been coming in, I presume prisoners and deserters, we now have about one thousand, they generally agree in saying that Secession is pretty well played out in this part of Dixie. Several regiments are under guard having refused to use arms against us any longer. The time of a great many has expired and they are anxious to go home and attend to the wants of their families. It is not true that the rebels were in a starving condition as was reported, for they left commissary stores burning behind them. They also burned the R.R. Depot leaving considerable hardware behind. Our Generals say it was the most complete evacuation they have ever seen; very few families and very very little property left behind. The health of the 3rd O.V.C. has not been and is not now, very good. Captain Skinner's Co. (Hl, numbers about 25 effective men. The company is out beyond Corinth today, on picket duty. If convenient send me a paper. Yours respectfully, buckeye WILLIAMS COUNTY LEADER June 12, 1862.