HEADQUARTERS DEPARTMENT OF THE CUMBERLAND, Widow Glenn's, September 19, 1863-1 p.m.

Major-General McCOOK,
Commanding Twentieth Army Corps:

General Thomas is heavily engaged, and Palmer and Johnson have been ordered up to support him. All goes well thus far. A considerable cavalry force of the enemy has got in behind us and are threatening some of our trains.

The general commanding directs you to hurry Mitchell's cavalry in upon our right, and send a detachment to look out for our rear.

Very respectfully, your obedient servant,

J. A. GARFIELD,

Brigadier-General,and Chief of Staff.

HEADQUARTERS DEPARTMENT OF THE CUMBERLAND, Widow Glenn's, September 19. (Received 1.25 p.m.)

General McCOOK:

Your dispatch of 1 p.m. received; your dispositions approved. As battle advances prepare to send Negley up here at once, or, if he cannot get ready, send Sheridan. Send urgent order to Mitchell to come down this way, and to send a portion of his force down Chattanooga Valley, and with the balance close down on you. Two brigades of Van Cleve are up supporting Palmer, who has not yet become engaged.

By order W. S. Rosecrans:

FRANK S. BOND,
Major,and Aide-de-Camp.

HEADQUARTERS DEPARTMENT OF THE CUMBERLAND, Crawfish Spring, September 19, 1863-10.15 a.m.

Major-General McCOOK,

Commanding Twentieth Army Corps:

The enemy is still attempting to turn our left and secure the Rossville and Ringgold road. The demonstration on the right is a feint. The general commanding directs you to send one division of your corps to Widow Eliza Glenn's, and send forward to report its march to General Thomas, with orders to close up to General Thomas, if he shall so direct. The division will receive orders from General Thomas. General McCool will take command of the right and the cavalry, and hold himself in readiness to support either flank.

J. A. GARFIELD,

Brigadier-General, Chief of Staff.

HEADQUARTERS DEPARTMENT OF THE CUMBERLAND, Glenn's House, September 19, 1863-12.40 p.m.

Major-General McCOOK,

Twentieth Army Corps:

GENERAL: The general commanding desires to know how affairs progress on your front. General Thomas has been engaged, and reports everything favorable. Preserve your signal stations, com-