Polyidus or Polyeidus
1. A son of Coeranus, a grandson of Abas and a great-grandson of Melampus. He was, like his ancestor, a celebrated soothsayer at Corinth, and is described as the father of Euchenor, Astycrateia, and Manto. (Iliad of Homer; Pausanias; Apollodorus III)
When Alcathous had murdered his own son Callipolis at Megara, he was purified by Poly'idus, who erected at Megara a sanctuary to Dionysus, and a statue of the god, which was covered all over except the face. (Pausanias. Apollodorus)
2. A son of the Trojan Eurydamas, and a brother of Abas, was slain by Diomedes. (Iliad of Homer)
From Smith's Dictionary of Greek and Roman Biography and MythologyFrom Apollodorus III
The Curetes told him that in his herds he had a cow of three different colours, and that the man who could best describe that cow's colour would also restore his son to him alive. So when the diviners were assembled, Polyidus, son of Coeranus, compared the colour of the cow to the fruit of the bramble, and being compelled to seek for the child he found him by means of a sort of divination.
From The Iliad of Homer. Book XIII
Paris was deeply grieved by the death of Harpalion, who was his host when he went among the Paphlagonians; he aimed an arrow, therefore, in order to avenge him. Now there was a certain man named Euchenor, son of Polyidus the prophet, a brave man and wealthy, whose home was in Corinth. This Euchenor had set sail for Troy well knowing that it would be the death of him, for his good old father Polyidus had often told him that he must either stay at home and die of a terrible disease, or go with the Achaeans and perish at the hands of the Trojans; he chose, therefore, to avoid incurring the heavy fine the Achaeans would have laid upon him, and at the same time to escape the pain and suffering of disease. Paris now smote him on the jaw under his ear, whereon the life went out of him and he was enshrouded in the darkness of death.
From Description of Greece by Pausanias Book 1
(1.43.5) Beside the entrance to the sanctuary of Dionysus is the grave of Astycratea and Manto. They were daughters of Polyidus, son of Coeranus, son of Abas, son of Melampus, who came to Megara to purify Alcathous when he had killed his son Callipolis. Polyidus also built the sanctuary of Dionysus, and dedicated a wooden image that in our day is covered up except the face, which alone is exposed. By the side of it is a Satyr of Parian marble made by Praxiteles. This Dionysus they call Patrous (Paternal); but the image of another, that they surname Dasyllius, they say was dedicated by Euchenor, son of Coeranus, son of Polyidus.