So far I have only found one document concerning the 369th NY NG. It's an inspection of ordnance material at the New York Station beginning on Jan 17, 1917 and continues thru Jan 20, 1927 . Inspection consists of M1903s, M1917s (revolvers) and a couple M1918 BARs, and M1917 Browning Automatic Machine Guns. If the small arm had no issues, a number of the type of firearm with the comment (in good condition) was noted.
If the firearm had an issue, it's SN was noted, the defect and corrected action which must be taken.
For instance, some of the issues and their corrective actions documented were.....
Issue / Corrective action
"excessive headspace" "to be surveyed"
"light trigger pull" "replace sear and cocking piece"
"rear sight slide and binding screw missing" "to be replaced"
Hope this helps answer your question. This document was pulled from the Chief of Ordnance Files at the National Archives.
Best wishes.