Kore as a name is documented by LGPN, as are the related names: Korinna,Korina, Korinno, Korinnis, Koreta and Koresia.
There are quite a few fem. Greek names ending with -inna, as with Korinna. LGPN registers, inter alia, Platinna, Philinna, Tyrinna, Taurinna, Glaucinna, Melinna, Lykinna and Herinna (with an eta).
Your kore-pupa analogy you mention reminded me of another somewhat amusing analogy: the word "lens" is derived from the Latin "lentil" which also gave its name to everyone's favorite edible seed. Similarly, the Greek word for lens is "fakos" whereas for lentils are "fakes".