CINCINNATI, OHIO, October 28, 1862.

Major-General HALLECK:

Arrived here at 11 a. m. Have received yours, inclosing your letter to Major-General Buell, copy of General Orders, No. 138, and your letter of instructions. I shall proceed at once to carry them out. My horses will reach here to-night. I will leave to-morrow for General Buell's headquarters.

W. S. ROSECRANS,

Major-General.

CINCINNATI, October 28, [1862].

Major-General GRANT:

My orders are to relieve General Buell and assume command of the Department of the Cumberland, and we are to co-operate so far as possible to support each other's operations. Please keep me advised, and I will do the same for you.

I will go to Louisville to-morrow.

W. S. ROSECRANS,

Major-General.

OCTOBER 28, 1862.

Colonel BRUCE, Bowling Green:

Re-enforcements are moving to you rapidly. If you should be attacked of course you will be prepared and will defend your position to the last extremity.

D. C. BUELL.

OCTOBER 28, 1862.

General THOMAS, Lebanon:

Gay's cavalry is to remain at Lebanon. Order all the rest of Munfordville immediately, to receive their supplies at that point or in advance of that. I would like you to move on to Glasgow or to some point on the railroad as soon as the troops are started. I shall be at some point in advance by the time the troops are started. I shall be at some point in advance by the time the troops get there. Order a sufficient force of Gay's cavalry to scour the country after stragglers in and about Lebanon, and send them forward to McCook's column for distribution.

D. C. BUELL.

OCTOBER 28, [1862].

General THOMAS, Lebanon:

If the divisions are only now marching they must make up the time by rapid marched. I wanted the cavalry to have as much time as possible to recruit. Will see first about their clothing, &c. Have they made requisitions, and when are they to be ready? Has the baggage of Crittenden's division gone forward to Columbia?

D. C. BUELL.