the battle, giving each battery separately, states the number actually engaged in the battle as 21 officers, 56 non-commissioned officers, and 369 privates, making a total of 446. It is clear, therefore, that the 40,000 is intended as the number of officers, non-commissioned officers, and privates actually engaged in the battle, and a comparison of the reports of General Polk's chief of artillery with the returns suggests that in some way it may not be the full number of combatants engaged. The aggregation of returns making 41,153 present for duty in Grant's army at Pittsburg Landing, Sunday morning, is not a consolidated return, but a collection of footings of regimental returns, the nearest in date attainable to April 6th, for the most part furnished by the War Department to Colonel Johnson, the rest either taken from reports of State adjutant-generals, or else estimated. The statement includes the Fourteenth Wisconsin and the Fifteenth Michigan, neither of which arrived till after the close of Sunday's battle.[3] Deducting the "present for duty" given for these, 1,488, leaves, in round numbers, as in General Johnston's army, 40,000. But "present for duty" in the returns of the National forces, includes musicians, buglers, artificers, etc.; all men present for the duty for which they were enlisted. The army was clothed with music. There were 72 regiments present, including those which arrived Sunday morning. The field music of 720 companies, with the buglers of cavalry and artillery, made about three thousand men. Besides these there were bands so numerous that an order was shortly afterward made, restricting the number of bands to one to each brigade. Where the battle reports give the number taken into action, the difference in the number given and the number of "present for duty," as given by the War Department to Colonel Johnston, suggests that many had gone on to the sick list, or been detailed, between the date of the return and April 6th; or that many men present for duty were left behind in camp. Probably all were true, and thirty-three thousand or thirty-two thousand is the number of officers, non-commissioned officers, and privates actually engaged in Sunday's battle on the National side. The reinforcements of Monday numbered, of Buell's army, about twenty thousand; Lewis Wallace, sixty-five hundred; other regiments, about fourteen hundred. [Footnote 3: This is a mistake as to the Fifteenth Michigan, which lost, Sunday, 33 killed, 64 wounded, and 7 missing.]