The Second and Fourth Divisions were started for Vicksburg the moment I was notified that boats were in readiness, and on the 27th of September I embarked in person in the steamer Atlantic, for Memphis, followed by a fleet of boats conveying these two divisions.  Our progress was slow, on account of the unprecedentedly low water in the Mississippi, and the scarcity of coal and wood.  We were compelled at places to gather fence-rails, and to land wagons and haul wood from the interior to the boats; but I reached Memphis during the night of the 2d of October, and the other boats came in on the 3d and 4th.

On arrival at Memphis I saw General Hurlbut, and read all the dispatches and letters of instruction of General Halleck, and therein derived my instructions, which I construed to be as follows: 

To conduct the Fifteenth Army Corps, and all other troops which could be spared from the line of the Memphis & Charleston Railroad, to Athens, Alabama, and thence report by letter for orders to General Rosecrans, commanding the Army of the Cumberland, at Chattanooga; to follow substantially the railroad eastward, repairing it as I moved; to look to my own line for supplies; and in no event to depend on General Rosecrans for supplies, as the roads to his rear were already overtaxed to supply his present army.

I learned from General Hurlbut that General Osterhaus’s division was already out in front of Corinth, and that General John E. Smith was still at Memphis, moving his troops and material by railroad as fast as its limited stock would carry them.  General J. D. Webster was superintendent of the railroad, and was enjoined to work night and day, and to expedite the movement as rapidly as possible; but the capacity of the road was so small, that I soon saw that I could move horses, mules, and wagons faster by land, and therefore I dispatched the artillery and wagons by the road under escort, and finally moved the entire Fourth Division by land.

The enemy seems to have had early notice of this movement, and he endeavored to thwart us from the start.  A considerable force assembled in a threatening attitude at Salem, south of Salisbury Station; and General Carr, who commanded at Corinth, felt compelled to turn back and use a part of my troops, that had already reached Corinth, to resist the threatened attack.

On Sunday, October 11th, having put in motion my whole force, I started myself for Corinth, in a special train, with the battalion of the Thirteenth United States Regulars as escort.  We reached Collierville Station about noon, just in time to take part in the defense made of that station by Colonel D. C. Anthony, of the Sixty-sixth Indiana, against an attack made by General Chalmers with a force of about three thousand cavalry, with eight pieces of artillery.  He was beaten off, the damage to the road repaired, and we resumed our journey the next day, reaching Corinth at night.