John is right, Mary Jane.
Civil War Soldier and Sailor System shows:

Hiram Goad (First_Last)
Regiment Name 54 Virginia Infantry.
Side Confederate
Company G
Soldier's Rank_In Private
Soldier's Rank_Out Private
Alternate Name
Notes
Film Number M382 roll 22

54th Infantry Regiment was organized in October, 1861. It was soon ordered to Kentucky and took an active part in the engagement at Middle Creek. Later the unit was assigned to Trigg's, Reynolds', Brown's and Reynolds' Consolidated, and Palmer's Brigade, Army of Tennessee. It participated in many battles of the army from Chickamauga to Atlanta, endured Hood's winter operations, and fought in North Carolina. On April 9, 1865, it merged into the 54th Battalion Virginia Infantry. This regiment sustained 47 casualties at Chickamauga, totalled 390 men and 329 arms in December, 1863, andhad 128 present in December, 1864 and 212 in January, 1865. The field officers were Colonel Robert C. Trigg; Lieutenant Colonels Henry A. Edmundson, William B. Shelor, and John J. Wade; and Majors John S. Deyerle, Austin Harman, and James C. Taylor.

In addition to Hiram and Iredell, there were:
Arron Goad, Company G, entered as Corporal and exited as 2nd Lt.; Eli Goad, Co G, Pvt, Pvt; George W. Goad, Co G, Pvt, Sgt; J. T. Goad, Cpl, Cpl; Jeremiah H. Goad, Co B, Pvt, Pvt; Randolph Goad, Co G, Pvt, Pvt; Robert Goad, Co G, Pvt, Pvt; S. Goad, Co G, Unk, Unk; and Wesley Goad, Co G, Pvt, Pvt.
Looks like the Goad kin called Co G 54th Regt Va Inf home.
JR