I find Jesse in no other Confederate file.

J. C. Woodward, age 36, 2nd Sergeant, Capt. M. D. Moreland’s Company, (Burnsville Blues) 17th Regiment Mississippi Volunteers,* enlisted May 27, 1861 at Corinth, Miss. by W. L. Walker for one year, elected 3rd Lieutenant September 21, 1861, resigned at reorganization, April 26, 1862, noted on April 27, 1862 ** as “Loss, ordered to Richmond by Secretary of War,” no further information, description on enlistment, married 35 year old Farmer, born in Mississippi, resident of Burnsville, Miss.

* This company was successively designated as Captain Moreland’s Company, Mississippi Volunteers, and as Captain Moreland’s Company, and Company E, 17th Regiment Mississippi Infantry

** The company was located near Lees Mills, Va. at this time. Believe in the vicinity of York Town. Subsequently recorded on July 26, 1862 near Richmond

M269: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Mississippi

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My GGG-grandfather JC Woodward . . . . . died of pneumonia June 14th, 1862 in Burnsville. I have his service records, and his widow's pension application. Thanks, JD Woodward
http://www.history-sites.com/cgi-bin/bbs62x/mscwmb/webbbs_config.pl?page=1;md=read;id=13170

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J. M. Woodward/Woodard, Private, Company D, 5th Regiment Minute Men, Army of the State of Mississippi, enlisted August 20, 1862 at Meridian, Miss., died at Vicksburg Hospital December 31, 1862

Record of Events, Company D, raised in Clarke County

Stationed at Columbus, Mississippi, August 4, 1862-February 28,
1863.

M269: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Mississippi

Buried in Grave #577, Soldiers Rest, Cedar Hill Cemetery, Vicksburg, Miss. These burial sites no longer can be identified.