At this juncture Mitchell’s Ohio battery was opened at about eighty yards from the brow of the hill. The rebels made a dash for it; but the fleetness of the horses prevented its capture. At the same time the rebels appeared with fresh troops on that wing, and redoubled their efforts to hold their position and dislodge the Federals on the hill. Hovey was slowly driven back to the brow; but a brigade from General Quimby was ordered to his support, and the ground was speedily recovered and the rebels finally repulsed. At the commencement of the engagement General Logan’s division marched past the brow of the hill, and, forming in line of battle on the right of Hovey, advanced in grand style, sweeping everything before them. At the edge of the wood in front of Logan the battle was most desperate. Not a man flinched nor a line wavered in this division. All behaved like veterans, and moved to new positions with a conscious tread of victory. Two batteries were captured by this division, and enough hard fighting done to establish its fame. They also captured a large portion of the prisoners, small arms, &c. Between three and four o’clock General Osterhaus and General McArthur’s divisions came into action on the extreme left, and completed what had been so auspiciously carried forward. They were both miles away when the engagement began, but were brought forward with all dispatch possible. The enemy were in full retreat. The battle ended, the left was speedily advanced upon the Vicksburg road, driving the enemy rapidly before them, and picking up as they advanced large numbers of prisoners and guns. On the left of the road were seen large squads of rebel soldiers, cut off from the main column, who engaged at intervals with artillery. One of these was under the command of Major-General Tilghman, who was struck by a shell from a Federal battery and instantly killed while in the act of sighting a gun. The Federal loss in this battle amounted to three thousand in killed and wounded; while that of the rebels approximated two thousand five hundred in killed and wounded and three thousand prisoners.