It appears to me their must have been much dissension among these conscripts. You might be able to find more information in the references I've cited.
I'd certainly like to know what this Meridian Head Quarters Circular was all about. Chasing the references noted may identify.
http://www.acadiansingray.com/1st%20Regt.%20Hvy.%20Arty.htm#Company%20D
Cap. & prl. Vicksburg, 4 Jul 63. Late Oct-Dec 63: AWOL. Gone to LA. Jan-Feb 64: Des. AWOL since fall of Vicksburg. Ordered to be ret. as a des. by circular, HQ, Meridian, MS, 11 Jan 64. [NFR.] (B1:99b)
AWOL since fall of Vicksburg. Supposed to have gone to LA. POW cap. Vicksburg, 4 Jul 63. Refused to sign prl. Sent to Memphis, TN, 8 Jul 63. Rcd. Gratiot St. Mil. Prison, St. Louis, MO, 26 Jul 63. Fwd. to Camp Morton, IN, 1 Aug 63. D. of typhoid fever, [Camp Morton?], 23 Dec 63. Jan-Feb 64: Drp. fr rolls, [n.d]. (B1:137b)
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See also: http://www.rootsweb.ancestry.com/~laudc/artill.htm
"Military Record of Louisiana, Including Biographical and Historical Papers Relating to the Military Organizations of the State," by Napier Bartlett. Published in 1875 by L. Graham at New Orleans, Louisiana, this book was reprinted in 1964 by Louisiana University Press."
Guide to Louisiana Confederate Military Units, 1861-1865. Complete and accurate record of Louisiana's 111 Artillery, Cavalry and Infantry Units and their Contributions to the Civil War," by Arthur W. Bergeron, Jr. A "research project" is how Arthur W. Bergeron, Jr., refers to his book in the acknowledgements. The 1989 release contains brief histories of every regiment and battalion Louisiana supplied to the Confederate war effort. Each unit's entry includes a list of officers, a unit history, and, in many cases, a bibliography of primary sources on the unit's activities. The regimental and battalion listings are divided into three chapters, one each for artillery, cavalry and infantry. Independent companies are addressed in an appendix, as are Louisiana Volunteer State Troops. The index, which runs to 34 pages, is thoroughly cross-referenced. Bergeron is also the author of "Reminiscences of Uncle Silas: A History of The Eighteenth Louisiana Infantry", and co-author of "Boone's Louisiana Battery: A History and Roster", and B."Miles' Legion: A History and Roster.". 256 pages. Cost of $ 25.00.
"Records of Louisiana Confederate Soldiers and Louisiana Confederate Commands," compiled by Andrew B. Booth, commissioner, Louisiana Military Records. Originally published in New Orleans, 1920. Reprinted in Spartanburg, SC, 1984 and 1994. These 4 volumes contain in alphabetical roll of approximately 90,000 members of the Confederate Army commands from Louisiana, based on records in the U.S. War Department, and state official rolls. Entries give complete individual war records, as known, with rank, company, date/place/entry, dates present/absent/, date/place release; also d/p transfer, d/p capture and parole, illnesses and time in hospital, date/battle wounded, date/battle killed, AWOL, and personal statistics--birth, place, age, occupation, residence, marital status. Two brief sections precede the individual soldiers: (1) list of 982 military companies, with local, numerical, and letter designations; (2) index to engagements fought in Louisiana 1861-1865. Cost $ 255.00, from The Reprint Company, P.O. Box 5401, Spartanburg, SC 29304.
"The Civil War Reminiscences of Major Silas T. Grisamore, C.S.A.," by Arthur W. Bergeron, Jr. 227 pages. 1993 issue, cost of $ 25.00. While this account may not be destined to be a classic among Confederate memoirs, it does provide an illuminating look at life in Louisiana and the Trans-Mississippi theater from September, 1861 through the end of the war. Grisamore, an Indianian by birth, began his service with the "Lafourche Creoles" of the 18th Louisiana and fought with this company at Shiloh. During more of the war, Grisamore was behind the lines, detailed as a quartermaster officer in charge of regimental and brigade baggage trains. This position afforded him a unique perspective of army operations. In addition to bad roads, he battled red tape, supply shortages, and a colorful array of loafers, wags, and deserters. Aided by his wartime (which unfortunately no longer exists) Grisamore first published these reminiscences in a local Louisiana newspaper between 1867 and 1871. This early date of origin, combined with Grisamore's keen eye for the absurd, gives his accounts a refreshing honesty with barely a hint of the usual post-war commentary and exaggeration. His description of men suffering from want of clothing and blankets are forthright and sympathetic, but adorned with a wonderfully arid sense of humor. Indeed, Grisamore's deadpan jabs at army regulations and government contractors were perhaps intended as serious criticism. Editor Arthur Bergeron has done a superb job of footnoting references to places and personalities of interest to research. (reviewed by Gordon Jones, Curator of Military Collections, Atlanta Historical Society)
http://www.mosocco.com/louisiana.html
You might be able to find something here from a Goggle search: