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Dear Mr. Schneider,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog, various unit record files in the Records of U.S. Army Operational, Tactical, and Support Organizations (World War II and Thereafter) (Record Group 338), and the Records of the Adjutant General's Office, 1905-1981 (Record Group 407) but were unable to locate records of the 5044th Army Reserve Service Unit.
We hope this information is helpful.