Believe he was a pre war member of this Militia Unit

J. B. Parsons
Enlisted on 3/1/1862 as a Private.
On 3/1/1862 he mustered into "A" Co.
AR 50th Militia Infantry
Organized: on 3/7/62 Mustered Out: 3/9/62, Prairie County, Ark.
Private, Company A, 50th Regiment Arkansas Militia, served from March 7 to March 9, 1862, no other records

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National Archives Record Group 109, holds for the General Hospital, Shreveport, Louisiana, a register of patients, Jan. 1, 1864 - June 12, 1865 (ch. VI, vol. 297)

Note, these records contain only cursory information but may indicate medical problem, dates in, out, etc.

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See also:

http://www.history-sites.com/cgi-bin/bbs62x/arcwmb/arch_config.pl?md=read;id=3589