The name Corrin derives itself from the Greek word κόρη (kore), meaning "maiden." In Greek mythology, this is the epithet of Persephone, who was kidnapped from her mother, Demeter, by Hades to become his wife. This could be reflecting the Avatar's own kidnapping from their family at the hands of King Garon.
Alternatively, Corrin is the French variant of Quirinus. Quirinus was also an epithet of Janus, the two-faced Roman god of beginnings, transitions, doors and endings. This two-faced nature could represent the Avatar's dual nature as Royalty of both Hoshido and Nohr, and the role of presiding over the beginning and end of conflict, hence war and peace. "Quirinus" is phonetically similar to the Kirin, which is a variant spelling of "Qilin"; this was a mythical, cloven-hoofed, two-horned beast that was prominent in Eastern Asian culture, which the Avatar's dragon form resembles. Kamui is the word for a divine being in Ainu mythology. Kamui is also a Japanese word; in a more general Japanese context, Kamui refers to the might and majesty of the gods, particularly the Shintō Kami.