numbers.  No pains have been spared to ascertain them, but without success, and it is well known that they far outnumber us.  Depending, however, on the railroads to their rear for transportation, they have not thus far advanced this side of Green River, except in marauding parties.  This is the proper line of advance, but will require a very large force, certainly fifty thousand men, as their railroad facilities south enable them to concentrate at Munfordsville the entire strength of the South.  General McCook’s command is divided into four brigades, under Generals Wood, R. W. Johnson, Rousseau, and Negley.

General Thomas’s line of operations is from Lexington, toward Cumberland Gap and Ford, which are occupied by a force of rebel Tennesseeans, under the command of Zollicoffer.  Thomas occupies the position at London, in front of two roads which lead to the fertile part of Kentucky, the one by Richmond, and the other by Crab Orchard, with his reserve at Camp Dick Robinson, eight miles south of the Kentucky River.  His provisions and stores go by railroad from Cincinnati to Nicholasville, and thence in wagons to his several regiments.  He is forced to hire transportation.

Brigadier-General Nelson is operating by the line from Olympian Springs, east of Paris, on the Covington & Lexington Railroad, toward Prestonburg, in the valley of the Big Sandy where is assembled a force of from twenty-five to thirty-five hundred rebel Kentuckians waiting reenforcements from Virginia.  My last report from him was to October 28th, at which time he had Colonel Harris’s Ohio Second, nine hundred strong; Colonel Norton’s Twenty-first Ohio, one thousand; and Colonel Sill’s Thirty-third Ohio, seven hundred and fifty strong; with two irregular Kentucky regiments, Colonels Marshall and Metcalf.  These troops were on the road near Hazel Green and West Liberty, advancing toward Prestonburg.

Upon an inspection of the map, you will observe these are all divergent lines, but rendered necessary, from the fact that our enemies choose them as places of refuge from pursuit, where they can receive assistance from neighboring States.  Our lines are all too weak, probably with the exception of that to Prestonburg.  To strengthen these, I am thrown on the raw levies of Ohio and Indiana, who arrive in detachments, perfectly fresh from the country, and loaded down with baggage, also upon the Kentuckians, who are slowly forming regiments all over the State, at points remote from danger, and whom it will be almost impossible to assemble together.  The organization of this latter force is, by the laws of Kentucky, under the control of a military board of citizens, at the capital, Frankfort, and they think they will be enabled to have fifteen regiments toward the middle of this month, but I doubt it, and deem it unsafe to rely on them:  There are four regiments forming in the neighborhood of Owensboro, near the mouth of Green River, who are doing good service, also in the neighborhood of Campbellsville, but it is unsafe to rely on troops so suddenly armed and equipped.  They are not yet clothed or uniformed.  I know well you will think our force too widely distributed, but we are forced to it by the attitude of our enemies, whose force and numbers the country never has and probably never will comprehend.