The debate about “who actually wrote” Shakespeare’s plays has been going on in both serious academic circles and in silly places almost as long as the plays have been in existence, and the answer is still “probably Shakespeare.”
But who knows, and does it really matter? The plays can be enjoyed for themselves alone.
Shakespeare’s authorship was never in any doubt (and it still isn’t) until the past 150 years or thereabouts, someone with a last name (escapes me at the moment) even more amusing than “Looney”. Shakespeare and Marlowe never got disconnected from their respective works, unlike Kyd, who died after a little visit from the Queen’s torturers or something, anyway, he’d written “Spanish Tragedy”, a hugely popular play. Its authorship was lost in fairly short order (perhaps as a consequence of the Great Fire of London, when a lot of things went up in smoke) and it wasn’t rediscovered for a couple of centuries.
Thank you for the amplification.