A vacuum cleaner singing "Saint James Infirmary"
Probably not but sounds like something like Old Man with a Pen would come up with or a similar author.
Except for A Swarm Cycle Story, that is the only story on the site with "Saint James Infirmary" in it.
Stewart's Second Mission by John Lewiston
And search came up with a third story with the whole "Saint James Infirmary" in it.
A Night Like Any Other by MysteryWriter
MysteryWriter is a pretty good writer, if I remember correctly.