Sorry, the Great Plague of London in 1665 was the same plague as the Black Death,
They may or may not have been the same disease but they were hundreds of years apart.
and scholars have traditionally associated the rhyme with this event,
It's an urban legend. "Scholars" do not believe this now, if they ever did.
no matter what the revisionists over at Wikipedia might say.
If you actually read the Wikipedia article I linked to, you would see that it is well researched and footnoted and the reasons given there make a lot of sense.
Here is the snopes discussion on the same topic.
The Black Death is identical to the plague that hit London years later—the plague continued on and off for hundreds of years. I’m sorry, but Wikipedia is good for spot checking and for a quick reference, but it is hardly a good authoritative reference on anything—fact-checking things is an important part of my day job, so I know. As for Snopes—you’ve got to be kidding