untrue, we know the female animal path's nameCoincidentally, we aren't privy to the names of the different The Six Paths' Of Pain.. enigmatically..
Was it ever given in anime or gamesActually.. none of the Pain's Summoned Animals are given names in this serialization for an as-of-yet unknown reason.
u just joined teh list of minamoto betrayers..Looking at the wiki, it is never directly referenced, so no.