[SpringheelJack]

So if they prove that Shakespeare was murdered, what do they intend to do to punish his killer?

Dig him up, and place him on trial. They did that once to a pope in the 9th century.

[Verginius Rufus]

Yes, Pope Formosus (891-896), who was dug up some months after his death, tried and found guilty, and then his corpse was thrown into the Tiber (but later retrieved and reburied). The whole farce backfired on Pope Stephen VII (VI) who perpetrated it.