LOUISVILLE, January 14, [?] 1863.

Commission met pursuant to adjournment. All the members present; also the judge-advocate and General Buell.

General BUELL. After the adjournment of the Commission yesterday I received this letter from the judge-advocate. He informs me that the Commission was kept in waiting half an hour for me, and he then goes on to admonish me that in future the Commission expects from me a more prompt attendance. I am as anxious as the Commission that this investigation should be closed as promptly as possible, and for the sake of personal as well as official courtesy I should be sorry to keep the Commission in waiting; but I desire to say that I am here by the permission of the Secretary of War and not by his requirement. It might be presumed that I could, if necessary, give an explanation that would satisfy any gentleman for failing to be present at the hour appointed. I request that the letter may be recorded.

A. G. CRADDOCK (a witness for the Government), being duly sworn by the judge-advocate, testified as follows:

By the JUDGE-ADVOCATE:

Question. State your name and residence.

My name is A. G. Craddock; I reside near Munfordville, Hart County, Ky.

Question. Can you state whether you were near Munfordville when it was attacked by General Bragg's army or previous to that attack, and whether you carried a message from Colonel Wilder to General Buell's army?

When Munfordville was attacked I was at Bowling Green, 40 miles from there. I carried a message from Colonel Wilder to General Rousseau on the Saturday night before it was attacked on Sunday morning, and delivered it to General Rousseau about sunup Sunday morning, the 14th of September.

Question. Did you know the nature of that message and whether it reached General Buell?

The nature of it was for re-enforcements. In about half an hour after I got to the hotel General Buell came to General Rousseau's headquarters and sent for me. He asked me then the situation in and about Munfordville, and said that Colonel Wilder had better evacuate that post. That, as well as I recollect, was about the purport of his remarks to me. I started back on Sunday after that and never reached Munfordville till Tuesday morning, and when I got there Bragg's forces were at Munfordville.

W. B. CRADDOCK (a witness for the Government), being duly sworn by the judge-advocate, testified as follows:

By the JUDGE-ADVOCATE:

Question. State your name and residence, and whether you were at Munfordville at the time Bragg's army arrived there and attacked that place.

My residence is Munfordville, Ky.

Question. Were you there at the time the place was attacked by Bragg?

I was not there at the time the fortress was surrendered; I was about 2 1/2 miles from the place.

Question. State whether you saw any or all of Bragg's army and whether you counted any of his regiments.

I cannot state if I saw them all. I saw a number of them. I counted as well as I could two regiments of them.