Letter from Kentucky.[Comipooienc© of the Press.]COMPANY F, ShCOND Kh NT U C K Y'SR E GIX B M T,Twenty* second Brigade,gjHTueKY PbpabtjmnTj Feb, 6,1862.It is with regret that I announce to you the sad fact that our * regiment has been called upon a second time to witness the execution of a soldier. The former one belonged to the First Regiment, but the present unfortunate fellow, it is my^painfol duty to say, was a volunteer in our own regiment.Tie history of the crime for which the poor follow suffered death is, as near as I can find out, in brief, about as follows: On the day of our camming (the 21st ult.) at CampLyrie, or the succeeding one, Samuel H. Calhoun, of Company A, and a companion, whose name I did not learn, were discovered by the gentleman (a Mr. Sutherland) who owned the land upon which we were camped in the ac t of * taking from near his house, which is but a short distance from camp, a hog, which one of the men had killed. The old man remonstrated with