I wonder if any historical group or college (Washington & Lee ?) received some or all of the listed contents between 1887 and 1890? The photo of a "Confederate cent" might be a marker for such a donation.
Also, contemporary reports state that the cornerstone laying was cut short due to rain, and that very few non-whites were to be seen in the large crowd and none in the parade. Was the copper box damaged during the Masonic ceremony....?
As of today, 12-27-2021 the following is reported:
"Devon Henry, the contractor whose company was overseeing the removal, said the box was found inside a granite enclosure basically at ground level, surrounded by fill and other construction material. Workers pulled off the top of the granite enclosure to find the box, which appeared to be made of copper, sitting in water, Henry said."
From CNN: https://www.cnn.com/2021/12/27/us/virginia-lee-second-time-capsule-open-trnd/index.html