From llio Till Cavalry,Hickman-, Kr., .Tan. 17,180-1.Editors Register:—Nothing of in terust has transpired since my last; however I shall attempt to give yon ri detail of the fiuoul to Jackaon, Tenn.,Ac., hoping it may interest the readers of the Register, especially those who have relatives and friends in this portion of the army.The command has endured, since its start in hardships and sufferings from the cold, as much, if not more than any other troops in this army, and it is ( miraculous the way they have escaped, even death; however it has become a| tact that a soldier can stand most anything, at least such would be the conclusion in this case.Oh Dec. 23d, the long talked of expedition left Union City, Tenn. They were nearly all glad that they were leaving the “one horse Union,” and as they were anticipating a tight, a happier set of men than those of the 6th Division Were not to be seen. They wore rejoicing to think they would have a chance to spend the holidays towards exterminating “old Forest”ifrom West Tennessee. Ilad their thoughts been anything but such, donh-loss they would have frozen more than they did. We were continually pressing all serviceable mules and horses, and subsistence from the rebel citizens who were nearly frightened to death on seeing so many Yankees. It is the opinion of some that the rebels would have to surrender on account of the scarcity of food. If the country around, in which the armies are moving, have one-third the amount of tlie necessariesof lifo that this portion has, there! would bo no t ieli thing as starving them out. The rebels that wore in and around Jackson could have staid throe f years, and lived entirely on tho citizens,; and .then save enough for seed I he j next year. Wo got plenty to eat fori ourselves and horses and left any quantitv behind. The roads were most of'tho way very bad, and too trains could not keep up all the time on that account.Alter traveling every day, making an average of 30 miles per day, we arrived at Jackson on the 30th, but found no rebels. The citizens toll) us the rebels heard we were contemplating a move and evacuated the place on tho and 2kh. Of com so wo had not to do but to push ahead or return, and after staving in Jackson one day thecolumn eoiiniei m u uhcil and “returned i