My guess is that C-stem verbs are "consonant-stem," i.e. godan (or strong, -ru, or Group I), and V-stem verbs are "vowel-stem," i.e. ichidan (or weak, -eru/iru, or Group II). It must be because godan verbs keep the consonant in inflection while the ichidan verbs do not. E.g. shiru --> shiranai, shireru, shiraseru, shirareru, but taberu --> tabenai, tabe(ra)reru, tabesaseru, taberareru.
By the way, nuru is C-stem because no verb that has (C)u* before the final ru is ever an ichidan verb.
*where "C" is a consonant.