Was Shakespeare a Catholic?

At least one Roman Catholic scholar thinks so:

The Rev. David Beauregard, a Roman Catholic priest who teaches Shakespeare at the seminary of St. Clement Eucharistic Shrine in the Back Bay, argues in his new book, "Catholic Theology in Shakespeare's Plays" (University of Delaware Press), that Shakespeare was Catholic.

Among the evidence:

He'll remind you that in "Hamlet," the ghost of Hamlet's murdered father tells his son that he is in purgatory, a Catholic concept.