Lewis & Short

Pīrēnē, ēs, f., = Πειρήνη,

  1. I. a fountain in the citadel of Corinth (Acrocorinthus), which sprung up from a blow of the hoof of Pegasus; hence sacred to the Muses, Plin. 4, 4, 5; Plaut. Aul. 3, 6, 23; Stat. S. 1, 4, 25: Heliconidasque pallidamque Pirenen, Pers. prol. 4.
    Hence,
  2. II. Pīrēnis, ĭdis, f. adj., = Πειρηνίς, of or belonging to Pirene, Pirenian: Ephyre, i. e. Corinth, Ov. M. 7, 391: unda, id. ib. 2, 240: Pirenida cessit ad undam (al. urbem), to Corinth, id. P. 1, 3, 75: Tantalus securus undas hauriat Pirenidas, as king of Corinth, Sen. Med. 745.