I'm not sure about Virginia units but there were two Virginia Regiments under Hood during the Atlanta campaign the 63RD Virginia and the 54Th Virginia. Of those two Regiments only the 63RD Virginia was at the battle of Chickamauga and Company C and Company G were from Grayson County, Virginia. Although they say many of the records of the regiment were lost they do have some records of the men but are not complete. Here is the site you might check out:
63rd Virginia Infantry:
Company C (Captain Stephen B. Cornutt's Company, also known as the "Marshall Rifles," named for General Humphrey Marshall) was organized April 6, 1862 at Moccasin Gap mainly from Grayson County residents.
The Grayson militia formed all of the original Company C and much of Company G. This company was personally sworn in by General Humphrey Marshall. The company was at Abingdon on May 1, 1862. Thirty-six members of this company were transferred to Co. G, January 17, 1863. Company strength February 29, 1864 was 80 men, not including officers. The company was at Chickamauga, Rocky Face Ridge, Resaca and other important battles in Georgia. It was reported that the company lost 27, killed, wounded or missing in May and June 1864. J. O. Brewer reported, 51 years after the war was over, 30 men "served to the end of the war." This number is high, since official records indicate some of his list could not have served to the end.
Company G, (Captain Litrell Hickerson Hampton's Company) was organized May 15, 1862 at Camp Jackson, Wytheville, from mostly Grayson and a few Carroll County residents. Many of the original members of this company from Carroll County transferred to Co. I(2) when that company was formed January 17, 1863. At the same time 36 members of Co. C, also from Grayson Co., transferred to Co. G. The company was at Abingdon May 27, 1862, and at Saltville, July 3, 1863 when muster rolls were taken. At Chickamauga the company lost one officer killed, three privates killed and one officer was wounded. First Lieutenant A. S. Collins was in command just after the battle. The company was at Stony Face on February 25, 1864.