Messrs. Editors: Though not organized in your immediate vicinity, a few lines from the 16th Ohio, may not be uninteresting to your readers. Our organization at Camp Tiffin, our trip through Kentucky, and subsequent occupation of this natural stronghold, they are already familiar with.

Since our arrival here , June 18th, the monotony of camp life has only been broken by work upon the fortifications and an occasional foraging expedition inside the enemy's lines. One of the most important of these trips was entered upon Saturday morning, Aug. 2d, by the 26th Brigade, composed of the 16th and 42d Ohio, and the 22d Kentucky regiments under Acting Brigadier General J. F. DeCourcy, accompanied by six pieces of artillery under command of Lieut. Anderson of the 1st Wisconsin battery, and Lieut. Webster of the siege battery.

At five o'clock Saturday morning the Brigade left camp, having in charge two hundred wagons, and after driving in the rebel pickets, encamped the same evening on the brow of a hill overlooking Tazewell, the county seat of Claiborne county, Tennessee, and fourteen miles from Cumberland Gap. Four of the pieces were planted in front of camp, while the 16th Ohio with two pieces of artillery were stationed as pickets on the ground previously occupied by the rebels for the same purpose. The Brigade remained in camp Sunday, while the quartermasters spent their time confiscating rebel horses about town. On Monday morning the Brigade took up its line of march for Clinch river, seven miles distant, where the rebels were reported encamped, eight thousand strong. There was a slight skirmish near Lycomon, in which one rebel was killed and four or five wounded. Our loss nothing. Seventy wagons escorted by two companies of the 16th loaded within three-fourths of a mile of the river, and returned without accident. The Brigade re-occupied its camp near Tazewell, Monday evening and during Tuesday. The 14th Kentucky, which had been ordered up as a re-enforcement, acted as picket Tuesday and during the night.

Wednesday morning at 7 o'clock the 14th Kentucky was relieved by the 16th Ohio. Companies B and E were stationed one fourth of a mile in advance as outposts, the remainder, save companies C and G, picketed in different directions about the hill and ravines. Half an hour after, scattered firing was heard in the direction of the outposts, and the cannon accompanying them was ordered in. No uneasiness was felt for an hour when a simultaneous attack was made on all the pickets, the outposts being entirely surrounded. The outposts had twice been ordered in but failed to receive the message. They determined not to surrender, but to try to run the gauntlet and escape; but a concealed regiment opening fire on them at ten paces, killing Capt. Edgar of company B, and severely wounding Sergeant Major Beatty Smith, broke their ranks when every man for himself tried to make their own way through the lines, and about half succeeded. The remainder were taken prisoners. The rear pickets had been attacked by four regiments who had taken position during the previous night, guiding their movements by cow bells. The reputation of the 16th Ohio was at stake, and the pickets fought desperately. A part of company D supported a rifled Parrot on the brow of the hill, which poured incessant volleys of grape and canister death into the rebel ranks. Then charges were made to capture the piece by a rebel regiment, and once they were so certain of success that their commander ordered them to seize the gun and run it in the bushes; but they had reckoned without their host. The cannon, double shotted, opened on them at twenty paces, mowing down almost an entire company; and while the gallant little fragment of company D poured a deadly volley into them, Major Kershner ordered the piece to retire, and withdrew the pickets to the rear of the ravine. At this juncture Major K's horse was shot from under him, and during the remainder of the fight he gave his commands on foot. he was the only field officer engaged in the fight, and maneuvered his regiment (the 16th Ohio) admirably. For one hour companies C and G held the whole rebel force in check, when the 14th Kentucky came to their assistance, and together they gradually retired, followed by four regiments of rebel infantry. When our regiments had retired a sufficient distance to be out of danger, our artillery back of Tazewell opened on the rebels, when they gave a fine exhibition of a skedaddle back over the hill. They replied with a twelve pounder, but after having it twice dismounted, drew off.

Major Kershner cannot receive too much credit for the manner in which he conducted the fight, and his success in bringing his men and guns from the field with as little loss. He is a cool, brave man, well versed in tactics, respected and obeyed by his men, and deserving of a higher position in the service.

Dr. Chase, Assistant Surgeon 16th Ohio, was the only medical officer in the fight, and sustained the reputation of his profession, being the last man to leave the field, though the balls created anything but agreeable music about his ears. General DeCourcy was on the field during the latter part of the action. During the fight, the 42d Ohio guarded the Virginia road, to prevent the enemy from flanking, and the 22d Kentucky supported the four guns back of Tazewell.

Two of the 22d Kentucky were wounded while on picket Tuesday, and succeeded in killing two rebel cavalry, and wounding five or six. Capt. Edgar's body was brought in by a flag of truce Sunday and interred with appropriate honors. Our regiment lost one killed and fifty two wounded and missing. Dr. Brashear has today accompanied a flag of truce to Tazewell, to see two of our wounded, prisoners. The Knoxville Register admits one hundred killed on their side, and we are informed on reliable authority that four hundred will not more than account for their killed and wounded. Corporal Paul Wilder, of company B, captured Lieut. Col. Goodwin [George Washington Gordon], of the 11th Tennessee, and brought him into camp. More anon.

WILSCOT.