BOWLING GREEN, June 12, 1863.

Capt. R.C. KISE,

Assistant Adjutant-General:

I have just heard from Scottsville. My boys in good spirits; taken some prisoners. Will be able to hold the points. We will be certain to get the largest part of their force. Davidson is pressing in their immediate rear. Major (E.L.) Mottley, Captain (Joseph) Fox, and Colonel (Bristow), of Russellville, in three separate detachments, all intercepting on the north side of the river, and Captain (Oliver) Johnson and 100 men from Russellville, together with the Scottsville detachment, will, I think, be able to intercept others. We must make a good thing of it. Boys like bloodhounds.

P.B. HAWKINS,

Colonel, Commanding.

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LEXINGTON, KY., June 12, 1863.

Maj. Gen. H.W. HALLECK,

General-in-Chief:

Some days ago the question was referred to me by you whether the counties of Kentucky west of the Tennessee River should be in this department. I then considered that they should not. I have since seen reason to change my opinion. It is also the desire of the authorities of Kentucky that this change of command be made, and, considering the intimate relations in Kentucky between the civil and military authorities, it seems desirable that the whole State should be under one command.

A.E. BURNSIDE,

Major-General.