Dear Sir:--Pursuant to Executive order, bearing date the 29th ult., I left Frankfort on 31st and proceeded to Hazard, the county seat of Perry County, arriving there noon of Sunday, the 14th instant, where I remained till Thursday, the 8th, when I left on my return, at 10 o'clock A. M., arriving here Saturday morning. Hazard contains near 100 inhabitants, when they are all at home, but I was told that not more than about thirty-five people were at home when I reached there, the rest of the population having refugeed in consequence of the French and Eversole feud which has distracted the people of the town and county for more than two years, and during which some ten men have died by violence as the result thereof. Many of the refugees returned before I left there, a number having joined the troops en route, and returned under their protection to Hazard, arriving there on the afternoon of Sunday, the 4th, while others returned Sunday night and others as late as Wednesday night. Among those who had sought safety in flight were George Eversole, county judge, and brother to Joe Eversole, the leader of the faction of that name; Ira Davidson, circuit and county court clerk, a sympathizer with that faction, Josiah Combs, late county judge and father-in-law of Joseph Eversole, and his son ---- Combs, who is an officer of the circuit court, and Fulton French, the leader of the French faction, together with the families of each, except Davidson, who is a single man. These all returned, except the elder Combs, either with the troops or after their arrival, and before I left. The killings above referred to were mostly assassinations from ambush, which seems to have been the favorite method of warfare adopted by both factions for ridding the community of the presence of persons who, from causes real or supposed, had made themselves obnoxious to the slayers, though one killing, that of Mr. Gambriel, was committed in the town of Hazard, in broad daylight, by two Eversoles and two of his henchmen, and was witnessed by a number of people; was committed without anything like adequate provocation, but for which no indictment had ever been found. Grand juries and witnesses seem either to have sympathized with the law-breakers or to have been intimidated by them; but it is not improbable that both of these causes have operated to paralyze the administration of the law, and to correspondingly stimulate crime. As is usual in such cases, I found that the county authorities failed to act with any degree of promptness and vigor at the inception of the difficulties and the result was the inevitable one--the troubles soon grew beyond their control. Josiah Combs, the father-in-law of Joe Eversole, was county judge at the beginning of the feud and Eversole and