The following is taken from New York in the War of the Rebellion, 3rd ed. Frederick Phisterer. Albany: J. B. Lyon Company, 1912.

This regiment, Col. James M. Fuller, was organized March 15, 1862, by the consolidation of the regiment being recruited at Rochester, under Col. Howard Carroll, with the one being recruited at LeRoy under Colonel Fuller, the nine companies of the latter forming seven, and the six of the former, three, G, H and I, of the new organization. The men were mustered in the service of the United States for three years between November, 1861, and March, 1862.
The companies were recruited principally: A at Wyoming; B at Lockport; C at Holley; D at LeRoy; E at Batavia; F at Brockport; G, H and I—-Irish Brigade; Western Irish Regiment — at Rochester; and K at Yorkshire, Farmersville and LeRoy. 
The regiment left the State April 4, 1862; served at Washington, D. C, from April, 1862; in 2d Brigade, 2d Division, Department of Rappahannock, from May, 1862; in 1st Brigade, 2d Division, 3d Corps, Army of Virginia, from June 26, 1862; in same brigade and division, 1st Corps, Army of the Potomac, from September 12, 1862; and, under Col. John W. Shedd, it was consolidated into five companies and transferred to the 94th Infantry, March 10, 1863, as Companies F, G, H, I and K of the latter.
During its service the regiment lost by death, killed in action, 1 officer, 33 enlisted men; of wounds received in action, 1 officer, 15 enlisted men; of disease and other causes, 45 enlisted men; total, 2 officers, 93 enlisted men; aggregate, 95; of whom 1 enlisted man died in the hands of the enemy.

The following is taken from The Union army: a history of military affairs in the loyal states, 1861-65 -- records of the regiments in the Union army -- cyclopedia of battles -- memoirs of commanders and soldiers. Madison, WI: Federal Pub. Co., 1908. volume II. 

One Hundred and Fifth Infantry.—Cols., James M. Fuller, Howard Carroll, John W. Shedd; Lieut-Cols., Henry L. Achilles, Howard Carroll, Richard Whiteside; Majs., John W. Shedd, Daniel A. Sharp. This regiment, known as the Le Roy or Rochester regiment, was recruited in the counties of Cattaraugus, Genesee, Monroe and Niagara, and was organized March 15, 1862, by the consolidation of the regiment being recruited at Rochester under Col. Howard Carroll, with one being recruited at LeRoy under Col. James M. Fuller. The 105th was mustered into the U. S. service from Nov., 1861, to March, 1862, for three years; left the state on April 4, was stationed for a month at Washington; then as part of the 1st brigade, 2nd division, 3d corps, Army of Virginia, it participated in its first battle at Cedar mountain, where 8 were wounded. A week later it moved on Gen. Pope's Virginia campaign, culminating in the second battle of Bull Run, its loss in the campaign being 89 killed, wounded and missing. In the ensuing Maryland campaign under McClellan, it fought in the same brigade and divi-sion, but the corps was now called the 1st and Hooker had succeeded McDowell in command. The regiment had slight losses at South mountain, but suffered severely at Antietam, where the 1st corps opened the battle, losing 74 killed, wounded and missing. It was prominently engaged at Fredericksburg, where Gen. Reynolds commanded the 1st corps, the 105th losing 78 killed, wounded and missing. It had become much reduced in numbers, and in March, 1863, was consolidated into five companies, F, G, H, I and K, and transferred to the 94th N. Y. infantry. (q. v.) It had lost during service 2 officers and 48 enlisted men killed and mortally wounded; 45 enlisted men who died of disease and other causes, a total of 95. Its gallant Lieut.-Col. Howard Carroll was among the mortally wounded at Antietam.