I beleive the men you are looking for are:
From NPS CWS&SS:

1st Regt Va State Line

Whitman, James
A Private Private

Whitman, John
A 1 Sergeant 1 Sergeant

1st Regt Va State Line
Radford, Richard Carlton Walker, Col., [formerly Col. 2nd Regt Va Cav], 1862-1863 [commanding brigade, 1863]
Beckley, Henry M., Lt Col., Comndg 1863
This regiment organized during the latter part of 1862 and was composed of infantry and cavalry companies which had enlisted for one year's State service. In January 1863, when the regiment was stationed at Glade Spring, Washington County, the cavalry companies numbered 373 and the infantry 365. The Virginia State Line disbanded about March 31, 1865 and most of its members enlisted in the service of the Confederate States. Quite a number from Companies A and B joined the 45th Bn Va Inf under Lt. Col Beckley.

Co A = Capt G. W. Taylor's Co; enlisted for one year; most went with Lt. Col. Beckley to the 45th Bn Va Inf and a few went to the 36th Reg Va Inf.

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45th Battalion, Virginia Infantry
45th Infantry Battalion was organized by detachments between April and December, 1863. Its six companies were composed of men from the 1st Regiment Cavalry Virginia State Line which had disbanded. The unit served in the Department of Western Virginia, lost 4 killed and 11 wounded at Cloyd's Mountain, then was involved in various conflicts in the Shenandoah Valley. It disbanded during April, 1865. Lieutenant Colonel Henry M. Beckley and Major Blake L. Woodson were in command.

Whitman, Doliver
E Corporal Corporal

Whitman, James D.
E Corporal Corporal

Whitman, John
E Private Private

Whitman, Leander
E Private Private

Co E = Capt Lloyd Ellis' Co; organized July 9, 1863 from members who were formerly with Co A, 1st Regt Cav, VA State Line

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The 36th Va Inf shows:

Whitman, George W.
B,D Private Private

Whitman, William H.
B,D Private Sergeant

36th Regiment, Virginia Infantry (2nd Kanawha Infantry)
36th Infantry Regiment, formerly known as the 2nd Kanawha Regiment, was organized in July, 1861. Assigned to Floyd's Brigade, the unit fought at Cross-Lanes and Carnifax Ferry in western Virginia, then moved to Tennessee. Here it was captured in the fight at Fort Donelson in February, 1862. After being exchanged it returned to Virginia and served in McCausland's and T. Smith's Brigade. The 36th went on to fight at Cloyd's Mountain and Piedmont, and later was involved in Early's Shenandoah Valley operations. It fought its last battle at Waynesborough. This unit reported 14 killed and 46 wounded at Fort Donelson, and there were 18 killed, 58 wounded, and 35 missing at Cloyd's Mountain. Many were lost at Third Winchester, and in mid-April, 1865, it disbanded. The field officers were Colonels John A. McCausland and Thomas Smith, and Lieutenant Colonels William E. Fife, Benjamin R. Linkons, and L. Wilber Reid.
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You should be able to get compiled military records on all of the individuals listed by clicking at the box at the top of the page.