On the 22nd Gen. TAYLOR disposed of his forces in the following manner: Col. McKEE's Kentucky regiment and Col. HARDIN's Illinois regiment were placed on the right wing supporting Washington's battery. Col. YELL's Arkansas cavalry, supporting SHERMAN's battery, was placed next the Kentuckians. Jack HAY's Texas Rangers occupied the center and somewhat to the rear, BRAGG's battery held the left of the center; while the Mississippi Rifles under Col. Jefferson DAVIS and the 3rd Indiana under Col. James H. LANE, with the 2nd Indiana was placed on the extreme left of the line supporting O'BRIEN's battery of only three guns. Two rifle companies of the 2nd Ind. and two of the 3rd Ind. under Major GORMAN, were placed on the mountains on the left of the 2nd Ind. The riflemen under GORMAN did gallant service by holding in check a very large force of Mexicans which climbed the mountains, to the left of the pass. A remarkable fact is stated by survivors of that battle that the 2nd Ind. was without any supporting force, either in their rear or on their right, nearer than 1,500 yard. Skirmishing took place on the evening of the 22nd. Early in the day of the 23rd SANTA ANNA's army came pouring through the pass and over the mountains and spread themselves over the plateau. The 2nd Ind. received the first onslaught of the attack, by a large force of infantry, about 8000 in number, and about 2000 cavalry (lanciers), two Mexican batteries, one on the left and one on the right, enfilading the second regiment. Notwithstanding this overwhelming disparity the regiment delivered 21 rounds before retreating, 35 men of the regiment having been killed. At this juncture Gen. Joe LANE, who was in immediate command of the regiment, undertook to move O'BRIEN's battery further to the right and front with the intention as he claimed of moving the regiment up to a point where it would be less exposed to the guns of the Mexican batteries. On LANE's departure, in charge of O'BRIEN's battery, and seeing that the men were being slaughtered, Col. BOWLES, who had been deprived by Gen. LANE of the command, but who chose to shoulder a musket and was actually fighting in the ranks, assumed command of his own accord and passed the word down the line to "cease firing and retreat." In the retreat and while passing near the 3rd Indiana and the Mississippi regiment quite a number rallied and joined those regiments. The others continued the retreat to the rear and rallied at the hacienda where they did excellent service in repelling an assault by the Mexican lanciers. O'BRIEN's battery, after the retreat, was captured by the Mexicans, his horses having been all killed. The most effective arm of the U. S. army in that battle was the three batteries of flying artillery of BRAGG, SHERMAN and WASHINGTON. Those batteries could be moved from point to point with great rapidity by horses attached. The Mexican batteries were hauled up to their positions with oxen. After being once planted in a chosen position they were not moved during the day. The battle raged nearly all day of the 23rd and during the night, SANTAT ANNA gathered his forces and material of war and retraced his steps toward San Luis Potosi, 200 miles from the battleground. I have been furnished with many interesting facts connected with the arduous and difficult service of the Indianians in the battle of Buena Vista by the survivors referred to, but want of space precludes any further comment. In conclusion I append hereto a single statement from Mr. Edward F. DICKEY, who was a member of the 3rd Indiana regiment. "As soon as the Mexicans gave way, the Third crossed the ravine and were joined by three or four pieces of artillery under Captain BRAGG, and perhaps WEBB or SHERMAN. I am not certain who had charge of the other guns, or whether there were three or four. The guns that were there engaged were the battery of 18-pounders at the foot of the mountain the Third Indiana being drawn up in line to protect our guns. This battery duel was kept up until the Mexican battery was silenced, and this was the end of the fight. It was then late in the afternoon. The general officers present during the cannonading were General WOOL and Gen. LANE, and then was the first time the Third Indiana Regiment saw General LANE that day. It is proper to say here that the weather was perfectly clear during the entire day, except for about half an hour when a cloud seemed to gather immediately over the field, and a gentle shower fell sufficient to dampen our clothing. This as I remember, occurred about the time of the truce. There was no growth of any kind on the table land to obstruct the view, and all parts of the field could be distinctly seen from any point of the general surface of the table land.