James W. Fulwilder, age 18, Private, Captain Otho Alexander’s Company,* enlisted June 26, 1863 at Camp North West by Capt. Alexander for 3 years or the war,** killed at Droop Mountain November 6, 1863, no further records

*This company subsequently became Company K, 20th Regiment Virginia Cavalry

** July 21, 1863, Note: This is a new company raised by Major Jno. Lady which is to form a part of Col. Wm. L. Jackson’s second or new Regiment

M324: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Virginia

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The 20th Regiment, Virginia Cavalry was organized in August 1863, and was composed of "North Western Virginians." The unit served in W. L. Jackson's Brigade and confronted the Federals in western Virginia and in the Shenandoah Valley.

Company K many men from Rockbridge County
https://familysearch.org/learn/wiki/en/20th_Regiment,_Virginia_Cavalry_(Confederate)

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See also:

http://history-sites.com/cgi-bin/bbs62x/vacwmb/webbbs_config.pl?md=read;id=3540

http://www.wvculture.org/history/civilwar/droopmountain01.html

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This is the only census information that could be close:

1850 United States Federal Census about James Fulwiler
Name: James Fulwiler
Age: 8
Birth Year: abt 1842
Birthplace: Virginia
Home in 1850: District 8, Botetourt, Virginia
Gender: Male
Family Number: 483
Household Members:
Name Age
John Fulwiler 40
Mary Fulwiler 37
Martha Fulwiler 18
Mary Fulwiler 14
James Fulwiler 8
Andrew Fulwiler 6
Nancy Fulwiler 5
George Fulwiler 2
Ancestry.com