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Dear A. Judd,
Thank you for posting your request on History Hub!
Douglas McChristian, Regular Army O!, (Norman, Oklahoma: University of Oklahoma Press, 2017) provides an explanation of the term. Briefly speaking, disposable recruits were enlistees with prior military experience during the Civil War who were assigned to special companies to perform guard and other routine duties until transferred to performing units. For further details, see the linked page.
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Thank you very much for the information, Mr. Atkinson. I will check out the link and that description gives me additional key words to continue searching.