No report from General Davis's division, but loss is small.

Among the killed were some of our most valuable officers: Colonels Putnam, Ninety-third Illinois; O'Meara, Ninetieth Illinois; and Torrence, Thirtieth Iowa; Lieutenant-Colonel-Taft, of the Eleventh Corps; and Major Bushnell, Thirteenth Illinois.

Among the wounded are Brigadier-Generals Giles A. Smith, Corse, and Matthias; Colonel Raum; Colonel Waugelin, Twelfth Missouri; Lieutenant-Colonel Partridge, Thirteenth Illinois; Major P. I. Welsh, Fifty-sixth Illinois; and Major Nathan McAlla, Tenth Iowa.

Among the missing is Lieutenant-Colonel Archer, Seventeenth Iowa.

My report is already so long, that I must forbear mentioning acts of individual merit. These will be recorded in the reports of division commanders, which I will cheerfully indorse; but I mnst say that it is but justice that colonels of regiments, who have so long and so well commanded brigades, as in the following cases, should be commissioned to the grade which they have filled with so much usefulness and credit to the public service, viz.: Colonel J. R. Cockerell, Seventieth, Ohio; Colonel J. M. Loomis, Twenty-sixth Illinois; Colonel C. C. Walcutt, Forty-sixth Ohio; Colonel J. A. Williamson, Fourth Iowa; Colonel G. B. Raum, Fifty-sixth Illinois; Colonel J. I. Alexander, Fifty-ninth Indiana.

My personal staff, as usual, have served their country with fidelity, and credit to themselves, throughout these events, and have received my personal thanks.

Inclosed you will please find a map of that part of the battle-field of Chattanooga fought over by the troops under my command, surveyed and drawn by Captain Jenney, engineer on my staff. I have the .honor to be, your obedient servant,

W. T. SHERMAN, Major-General commanding.