Pausanias Description of Greece 10.35.8

[8]
  The straight road to Delphi that leads through Panopeus and past Daulis and the Cleft Way, is not the only pass from Chaeroneia to Phocis . There is another road, rough and for the most part mountainous, that leads from Chaeroneia to the Phocian city of Stiris. The length of the road is one hundred and twenty stades. The inhabitants assert that by descent they are not Phocian, but Athenian, and that they came from Attica with Peteus, the son of Orneus, when he was pursued from Athens by Aegeus. They add that, because the greater part of those who accompanied Peteus came from the parish of Stiria, the city received the name of Stiris.

[8] The straight road to Delphi that leads through Panopeus and past Daulis and the Cleft Way, is not the only pass from Khaironeia to Phokis. There is another road, rough and for the most part mountainous, that leads from Khairōneia to the city of Stiris in Phokis. The length of the road is one hundred and twenty stadium-lengths. The inhabitants assert that by descent they are from Phokis, but from Athens, and that they came from Attica with Peteοs, the son of Orneus, when he was pursued from Athens by Aigeus. They add that, because the greater part of those who accompanied Peteοs came from the district [ dēmos] known as Stireis, the city received the name of Stiris.