There is one Virginia Levi Adkins as noted below. Also, one Levi Atkins whom I believe is your man.
George Martin
Levi Adkins
Residence Boone Co WV; a 24 year-old Farmer.
Enlisted on 6/20/1861 at Charleston, WV as a Private.
On 6/20/1861 he mustered into "I" Co. VA 22nd Infantry
He was listed as:
* POW 5/23/1862 Lewisburg, WV
* Confined 5/30/1862 Camp Chase, OH
* Exchanged 8/25/1862 (place not stated)
* Sick 1/15/1863 Giles Court House, VA (Estimated day)
* Returned 2/15/1863 (place not stated)
* Deserted 3/1/1865 (place not stated) (Estimated day)
* Oath Allegiance 3/1/1865 Charleston, SC, WV (Sent north)
* Surrendered 3/1/1865 Charleston, WV (Estimated day)
Promotions:
* Corpl
He was described at enlistment as:
6', tan complexion, blue eyes, brown hair
Other Information:
born 2/18/1841 in Rock Creek, WV
died in 1908 in Rock Creek, WV
Buried: Atkins-Elkins Cem, WV
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Levi G. Atkins [A couple of cards in his file spells as Adkins]
Residence was not listed;
Enlisted on 3/12/1862 at Floyd, VA as a Private, age 24
On 3/12/1862 he mustered into "A" Co. VA 24th Infantry
He was listed as:
* Wounded 5/31/1862 Seven Pines, VA (Wounded in finger)
* Returned 10/24/1862 (place not stated)
* POW 7/1/1863 Gettysburg, PA
* Wounded 7/1/1863 Gettysburg, PA
* Confined 7/7/1863 Fort Delaware, DE
* Confined 10/27/1863 Point Lookout, MD
* Exchanged 11/1/1864 (place not stated)
Other Information:
died 11/19/1864
Buried: Laurel Grove Cemetery, Savannah, GA