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Dear Mr. Kearney,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located a series titled Historical Reports of the Chief Engineer, 5/26/1917 - 8/31/1920. Within this series, there is a file unit titled Histories 501st-606th Engineers that may include the information you seek. Records of lower echelon units, such as companies, sometimes were incorporated into the files of the regiment. For access to and/or copies of this file unit, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
We hope this is helpful. Best of luck with your family research!