I was incorrect in indicating the 37th Mississippi was located in the NW section of the siege line, I failed to see the compass indicator. They were actually on the Eastern flank. See tour bus stop #4 on the Park Tour map, near Ransom's Gun Path. See attachment.
https://npplan.com/parks-by-state/mississippi-national-parks/vicksburg-national-military-park-park-at-a-glance/vicksburg-national-military-park-touring-the-battlefield/
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I do believe you have sufficient information to obtain a VA Tomb Stone for placement at the Vicksburg Cedar Hill Confederate Cemetery. The local SCV Camp should be of help. I believe Eddy Cresap is a member.