Yep, in my days at MU, early to mid 60s, this building held the Marshall Lab School, where MU education students did their classroom training. Went by it daily on the way to classes from my men's dorm, first dubbed as the "New Men's Dorm", latter tagged, with imagination, as "South Hall", and finally ending up as the now mothballed "Holderby" Hall! So, guys, changing names on MU buildings is certainly not "new".
Back to the Lab School, the High School even had a varsity basketball team. Ironically, the best player in those days was an African American, can't remember his name, but seem to recall he actually got recruited by one of the State Conference teams, perhaps WV State.
As for Jenkins, wonder if his family's plantation out near Greenbottom, I believe, had slaves? WV, or what was to become WV in 1863, had relatively few "plantations", primarily due to topography, I imagine, compared to most of the Southern States who made up the Confederacy. Not much cotton grown up here, perhaps tobacco was the "cash" crop on the Jenkins spread, which would qualify as a labor intensive crop if grown for commercial use.
Anyway, MU has made its decision and is looking, or hinting at, someone with deep pockets, i.e., $$$$$$ willing to donate, who may want to "buy" the naming rights. I note that the building underwent some recent renovations, etc., at a cost of a couple of million or so. But from the 2013 MU Master Plan, it needed a lot more work and upgrades than the recent renovations provided. As the education/teaching programs and offerings that MU provides will continue to be a major component of the University, hopefully the school can find a donor and a new name and this facility will be an important, and unifying, source for the University community for decades to come.
Unable to find a suitable person to name the facility after, perhaps MU should just consider "Unity Hall" for the building.