Peirene or Pirene (Ancient Greek: Πειρήνη) is the Corinthian spring nymph — daughter, in different sources, of Asopus, the Laconian king Oebalus, or the river Achelous — who by Poseidon bore Leches and Cenchrias, eponyms of Corinth's two harbours. Grief for Cenchrias, unintentionally slain by Artemis, turned her into the fountain outside Corinth's gates; there Bellerophon found and tamed Pegasus.
Adapted from Wikipedia, "Pirene (nymph)" · CC BY-SA 4.0
I.Parentage and children
Sources disagree on her father: the river-god Asopus, Oebalus of Laconia, or Achelous. By Poseidon she is mother of Lecheas (Leches) and Cenchrias — names of Corinth's western and eastern harbours. Pausanias records both the Achelous and the Great Eoeae's Oebalus lines; the atlas treats that fork as the `peirene-parentage` dispute rather than choosing one house.
II.Fountain and Pegasus
When Artemis unintentionally kills Cenchrias, Peirene's grief dissolves her into tears and she becomes the spring at Corinth's gateway. Corinthians kept a small sanctuary by the fountain and offered honey-cakes in the dry early summer. The water was said to temper Corinthian bronze. The fountain was sacred to the Muses; there, as Polyidus foretold, Bellerophon found Pegasus drinking and tamed him.