There is no means of determining with any precision the number of the garrison. General Grant, on the day of the surrender, reported the number of prisoners taken as twelve to fifteen thousand. Badeau says the number captured was 14,623; and that rations were issued at Cairo to that number of prisoners taken at Fort Donelson. According to a report or estimate made by Major Johnson, of the first Mississippi, and found among his papers in Mississippi in 1864, the number "engaged" was 15,246, and the number surrendered 11,738. General Floyd gives no estimate. General Pillow, in his brief to the Secretary of War of the Confederacy, defending himself from charges, gives thirteen thousand as about the number engaged in the defence; while General Buckner, in a report made after he was exchanged, says the aggregate of the army within the works was never greater than twelve thousand. An estimate published in the Nashville _Patriot_ soon after the surrender makes the number engaged 13,829. Major Brown's estimate was evidently the most deliberate and careful, yet it is not free from error. It is not accurate in the number of casualties. The regimental reports made after the surrender are not numerous, but they present some means of testing Major Brown's estimate. According to that estimate, the Eighth Kentucky lost 19 killed and 41 wounded; according to the official report of Colonel Simonton, commanding the brigade, the loss of the Eighth Kentucky was 27 killed and 72 wounded. According to Major Brown's estimate, two of the Virginia regiments lost none killed or wounded, and the aggregate of the loss of the four regiments was 13 killed and 113 wounded; according to the brigade reports, every regiment lost both killed and wounded, the aggregate being 41 killed and 166 wounded. Major Brown's estimate omits the Kentucky cavalry battalion of three companies. It names also only seven artillery companies, while the Nashville _Patriot's_ account and the memorandum on the manuscript plan of the intrenchments name eight. This estimate is also incomplete. It gives only the number engaged belonging to regiments and companies, and thereby excludes brigade and division commanders, and their staff and enlisted men at their headquarters; it also excludes the "four hundred raw troops" (the reports give them no other designation) who arrived too late to be engaged, but in time to be surrendered; and the estimate being only of those engaged, excludes sick, special duty men, and all except the muskets and sabres present for duty in the works. Such an estimate of "effective" or "engaged" is no basis for a statement of the number surrendered. The morning report of Colonel Bailey's regiment, the Forty-ninth Tennessee, for January 14th, was 680 effectives out of an aggregate of 777. His last morning report before the surrender was 393 effectives out of an aggregate of 773. Major Brown's estimate gives this regiment 372 engaged.