I would ask questions of three types:
1. How they're conserving the finds, do they use special equipment, are they careful with excavations, are they modifying the founds (to make them more stable?)
2. Can they already assess the time of the fund? Do the body or the rocks nearby point to any specific time period?
3. Finally, is there a chance for an DNA extraction and a reconstrucion to see how the ancestor looked like?