@filmfann A case like “Congo Square” IMHO, is a little grey as far as the traditional meaning of cover. However, I would not consider The Chiffons’ version of “One Fine Day” a cover because Carole King was a “studio writer” at the time.
Now her song “You’ve Got A Friend” is a different story. Her recording was released on her album around the same time as a version by James Taylor. In that case I’d consider her version the original and his version the cover.