There appears to be no one with the surname Fread found in the roster of the 113th Illinois Infantry, the closest being Henry C. Friele

The 116th Illinois lost at Arkansas Post, Ark., January 10-11, 1863, 5 killed, 3 wounded as recorded their Regimental Casualty Analysis found at the American Civil War Research Database, Historical Data Systems. These records are not always accurate and could be missing some.

…

George Fread
Residence Sullivan IL;
Enlisted on 8/22/1862 as a Private.
On 9/4/1862 he mustered into "C" Co. IL 126th Infantry
He died of disease on 5/6/1865 at St. Charles, AR

…..

Isaac Fread
Residence Oconee IL;
Enlisted on 9/5/1861 as a Corporal.
On 11/8/1861 he mustered into "G" Co. IL 5th Cavalry
He was discharged for disability on 9/8/1862

…..

James Fread
Residence Sullivan IL;
Enlisted on 8/20/1862 as a Private.
On 9/4/1862 he mustered into "C" Co. IL 126th Infantry
He was Mustered Out on 7/12/1865 at Pine Bluff, AR

Sources used by Historical Data Systems, Inc.:
- Illinois: Roster of Officers and Enlisted Men

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James Fread, Private, Company A, 69th Illinois Infantry

Ezra Fread/Fred, Private, Company E, 21st Illinois Infantry

Index to Compiled Service Records of Volunteer Union Soldiers Who Served in Organizations from the State of Illinois