The Third Kentucky are just in from a scout. Part of the battalion is in Nashville getting horses.

The two companies First Kentucky are in readiness to surprise a small party of guerrillas at Cedar Springs.

The defeat of the guerrillas at Kinderhook was of greater importance than first reported, both in killed, wounded, and dispersion of the band.

JAS. S. NEGLEY,

Brigadier-General.

Colonel J. B. FRY.

COLUMBIA, August 17, 1862.

You will be pleased to hear that the defeat of Napier's and Anderson's guerrillas near Kinderhook was more complete than reported. Upwards of 20 are reported killed, the band stricken with terror, and scattered in every direction. A prisoner captured yesterday gives the following, I believe, reliable information: Headquarters Cooper's band removed to Persimmon Branch, 6 miles west of Ashland; Colonel Jake Biffle's headquarters 5 miles south of Ashland; Tom Williams' Buffalo Creek, 8 miles southwest of Henryville.

When the Third Kentucky get their horses if they could be used against these nests in would be good policy. These sudden surprises frighten many of the scoundrels back to their homes. Six hundred citizens of this county have taken the oath this week. I hope to have every prominent citizen in this county under oath or out of the lines by the end of next week.

JAS. S. NEGLEY,

Brigadier-General.

Colonel J. B. FRY, Chief of Staff.

AUGUST 12, 13, 1862.-Capture of Gallatin, Tenn., and destruction of bridges in that vicinity (12th), and skirmish (13th).

REPORTS.

Numbers 1.-Colonel John F. Miller, Twenty-ninth Indiana Infantry, of skirmish August 13.

Numbers 2.-Major William H. Sidell, Fifteenth U. S. Infantry, and Acting Assistant Adjutant-General.

Numbers 3.-Captain Walworth Jenkins, Assistant Quartermaster, U. S. Army, of the surrender of Gallatin.

Numbers 4.-General Braxton Bragg, C. S. Army, of the surrender of Gallatin.

Numbers 5.-Asst. Adjt. General J. F. Belton, C. S. Army, of the surrender of Gallatin and the destruction of bridges in that vicinity.

Numbers 1.

Reports of Colonel John F. Miller, Twenty-ninth Indiana Infantry, of skirmish August 13.

GALLATIN, August 13, 1862.

MAJOR: It is ascertained that the rebel loss this morning was 4 killed and 10 wounded; 1 captain and 1 lieutenant killed. We had