Kentucky Cavalry, fought Colonel Hughs on Obey's River in Tennessee; captured 2, killing 3. Hughs' men threw away their guns; left their horses. It is thought by Colonel Weatherford that Hughs cannot possible get out, for the reason that our troops are os disposed and stationed, and will prevent his escape.

Very respectfully, your obedient servant,

E. H. HOBSON,

Brigadier-General.

Lieutenant-Colonel FARLEIGH,

Acting Assistant Adjutant-General, Louisville.

MARCH 28-APRIL 16, 1864.-Operations in Eastern Kentucky.

SUMMARY OF THE PRINCIPAL EVENTS.

March 31, 1864.-Skirmish at Forks of Beaver.

April 5, 1864.-Skirmish on Quicksand Creek.

7, 1864.-Skirmish on Brushy Creek.

13, 1864.-Skirmish at Paintsville.

14, 1864.-Action at Half Mountain, on Licking River.

Affair near Booneville.

16, 1864.-Skirmish at Salyersville.

REPORTS.

Numbers 1.-Brigadier General Edward H. Hobson, U. S. Army, commanding Fifth Division, Twenty-third Army Corps.

Numbers 2.-Colonel George W. Gallup, Fourteenth Kentucky Infantry, commanding District of Eastern Kentucky.

Numbers 3.-Itinerary of the U. S. forces in the District of Eastern Kentucky, March 28-April 14.

Numbers 4.-Lieutenant Colonel Thomas Johnson, Kentucky Cavalry, commanding Confederate Forces.

Numbers 1. Reports of Brigadier General Edward H. Hobson, U. S. Army, commanding Fifth Division, Twenty-third Army Corps.

LEXINGTON, KY.,

April 16, 1864.

SIR: Colonel Gallup pursued rebels to Salyersville; killed and wounded 25; captured 100 horses, 200 saddles, 50 prisoners, among them Colonel Clay. Colonel True, with Fortieth Kentucky and Eleventh Michigan, is beyond West Liberty. Have captured 6 prisoners. Colonel Brown is at Irwin; reports no enemy in that vicinity. Has sent scouting party some distance beyond to develop enemy, if any.

E. H. HOBSON,

Brigadier-General.

Lieutenant Colonel T. B. FARLEIGH,

Acting Assistant Adjutant-General, Louisville.