BOURBON COUNTY SOCIETY OF KENTUCKY.--We learn from the Paris Citizen, that the Eighth Annual show of this Society took place near Paris, and continued three days, and is said to be the largest and most varied ever held in Kentucky. The first two days were devoted to the exhibition of domestic animals, agricultural products, and farming implements; the third day, to that of domestic manufactures. The show of horses present was considered very superior; they were of all varieties, from the mettlesome thorough-bred, to the enormous cart-horse. The Durhams and other horned stock were well represented, and gave evidence in their splendid proportions of the superiority of Kentucky pastures. The descendants are said to be an improvement over the original importations from England. Mr. Clay was present, and had a superb pair of blankets presented him by Mrs. James Hutchcraft. These were made from the wool of Leicester sheep, and were of uncommon size and thickness, weighing 23 lbs. the pair. On the presentation of these blankets, Mr. Clay was addressed by the Hon. Garrett Davis, M. C., and he replied in his usual elegant and happy manner. HAMPSHIRE, HAMPDEN, AND FRANKLIN SOCIETY, MASSACHUSETTS.--The united show for the three wealthy and populous counties above, came off at the beautiful town of Northampton, on the 18th and 19th October, and we much regret on more accounts than one, that we could not, be present. The Boston Cultivator furnishes a full report. A large number of working-oxen of course were present, and to these were added some superb fat oxen, exhibited by Mr. Sumner Chapin. The committee who reported upon this subject, attributes the superiority of the cattle to the large infusion of Short-Horn blood in their veins, and hence their fine symmetry, light offal, and increased weight of flesh on the more valuable parts, as compared with native stock when fattened for the shambles. Mr. Paoli Lathrop exhibited some choice Short-Horns. Of native cows the committee thus speak:--