I doubt there are any Indian burial grounds near there since there were no resident native American communities here. This area was used only for hunting, so the story goes. I grew up in the 50's and 60's four or five blocks from there, went to high school down the street and attended MTSU in the 70's and again in the 80's and never heard the "legend" until earlier this year. Since the obelisk is the geographic center of Tennessee I can see how hyperbole could expand that--but the center of the universe? I don't think any science or meta-science could support that. I do remember Murfreesboro when the MTSU student population practically doubled our population when classes were in session--at least during the weekdays.
I have lived here for 50 years and never heard any ghost tales about the place. I didn't go to MTSU, went to UT instead, so maybe that is why I never heard any of this. Probably a MTSU urban legend. I have been it the store many times since I was a kid and rode my bike there for fireworks back in the day. My grandparents bought ground Beef from Mr. Davis to sell at their store.
My young daughter needed to use the restroom badly after a trip to the doctor some years back. We stopped in Davis Market and they would not let her use the restroom. Needless to say, I have not been back in the store since and never will!
If in fact there is such a thing associated with this store it would most likely have been brought on by constant advantage that is taken of students by this establishment. One of many stories that I am aware of and was witness to is that of a young lady who purchased a half keg only to get it home to find it foamed and did not work properly. Speaking to the owner of this establishment myself since he refused to reimburse her,he stated she must have let it get warm. I was present at the purchase and saw that they had this keg already out of the cooler sitting in the store,ie the reason for the foaming no doubt. Having stated this was simply wrong to him he refused to return any money to her knowing the cost of civil court would be to costly concerning this matter. I have no doubt this was not an isolated instance and would caution anyone from this establishment.
I lived down the street and frequented the market for 30 years of my 59 years in Murfreesboro. Attended MTSU in the '60's and early 70's and this is the first time I have ever heard of this. I always enjoyed getting Devil Food cakes at the market!