And now a shout rings from the lips of our “boys.” The rebel cavalry are in sight. A few moments later swords cross, pistols crack, and horses rush together in the strife. Then the “graybacks” turn and fly, leaving the field, camps, and all, to our victorious ranks. The work of destruction followed. Tents, arms, ammunition, were mingled in a common ruin. The road for miles was lined with wagons the foe were compelled to leave in their haste to get out of our way; ambulances stood unused, although thousands of the mangled were in need of them; limber-boxes, which belong to the guns, were also abandoned; indeed, every thing showed a hurried retreat, which but for the cavalry in the rear to cover the flight of the infantry, would have been a complete rout of the enemy. The victor returned from his gallant exploit only to repeat it. The general advance toward Corinth immediately followed. The fifth division swept over the country, which was arrayed in vernal verdure and bloom. The birds sang as sweetly as in any former spring-time, startled beside the highway only by the tramp of the marching host. May 17th the first shock came. The division of General Grant’s army under Sherman, met the rebels in a severe conflict on the road to Corinth. They had to fall back before the human tide, crested with fire and steel. This brief contest only opened the way to the fortress of rebel strength. And the question was, how shall Corinth be taken? It must either be by direct and bloody assault, or by siege, surrounding it, and compelling the imprisoned army to surrender. Beauregard watched with sleepless vigilance his foe. He ordered troops to intrench on a ridge near Philip’s Creek and oppose the Union forces. General Jeff. C. Davis approached the works; then, feigning a retreat, drew the garrison out, when a severe struggle defeated the enemy completely. This occurred May 21st; and, on the 27th, General Sherman also had a fight with the rebels. The decisive hour at length has come; all is activity and excitement. We cannot furnish you a more vivid description of the stirring and awfully sublime scenes of such a crisis in army operations, than one given in a letter from this field of conquest: