Sorry, the Great Plague of London in 1665 was the same plague as the Black Death, and scholars have traditionally associated the rhyme with this event, no matter what the revisionists over at Wikipedia might say. Even if Wikipedia is correct, it does not at all affect the historical truth of the plague and peoples’ attitudes to and experience of it.
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.