“Synonymous,” “anonymous,” “pseudonymous,” “eponymous” — they all have to do with names for things because they come from the Greek word “onyma,” meaning “name.” “Eponymous,” in particular, has to do with the name of a person, but in two different usages. If “eponymous” is describing a person, it references giving their name to something — for example, “The eponymous title character of the novel was introduced quickly.” In this case we know the book is named after that person. If “eponymous” is describing a thing, that thing is named after a particular person — for example, “The biography covers the years before the launch of his eponymous company.” This tells us the person’s company is named after him.