Did someone steal Shakespeare's skull?

Shakespeare's grave.
His skull is probably in there.
In the Telegraph, Emily Gosden reports on how "clergymen attempting to solve a centuries-old mystery over the identity of a lone skull found in a Worcestershire church vault have been thwarted by a senior church lawyer - who has barred them from carrying out DNA testing." The clergymen wanted to test a local legend that the skull was "stolen from the playwright’s tomb in Stratford as part of a wager set by the art historian Horace Walpole in the 1700s." Like claims about a newly discovered Shakespeare portrait, this story seems far-fetched, which is why the church lawyer "sided with prominent Shakespeare scholars who have rubbished" it.