The headword, pro/c, is rendered 'roe deer, Cervus capreolus' in LSJ s.v., but that entry also goes on to note ancient opinion -- as exemplified here -- that the term related specifically to a fawn (whether offspring of an elaphos, as here, or a dorkas).
The earliest instance of the noun occurs in the celebrated description of Odysseus' dog Argus (Homer, Odyssey 17.291-327), who had chased such game when in his prime.