Plague is a bacterial infection known as "The Black Death" ...
This may not be true. Bubonic plague was certainly the cause of later epidemics, but the Black Death was very possibly something else that we don't have other examples of. We don't really know with certainty what it was.
Edit: Well, I'm wrong!
https://en.wikipedia.org/wiki/Black_Death#DNA_evidence
Definitive confirmation of the role of Y. pestis arrived in 2010 with a publication in PLOS Pathogens by Haensch et al.[4][c] They assessed the presence of DNA/RNA with polymerase chain reaction (PCR) techniques for Y. pestis from the tooth sockets in human skeletons from mass graves in northern, central and southern Europe that were associated archaeologically with the Black Death and subsequent resurgences. The authors concluded that this new research, together with prior analyses from the south of France and Germany, "ends the debate about the cause of the Black Death, and unambiguously demonstrates that Y. pestis was the causative agent of the epidemic plague that devastated Europe during the Middle Ages".[4] In 2011 these results were further confirmed with genetic evidence derived from Black Death victims in the East Smithfield burial site in England. Schuenemann et al. concluded in 2011 "that the Black Death in medieval Europe was caused by a variant of Y. pestis that may no longer exist".[59]
While there remains some suggestion that the Black Death was airborne transmission, and not only by fleas, that DNA research stands pretty strongly.