I briefly mentioned the manuscript variants regarding the name of the first wife of Herodias in Matthew. Likely this was an editor's attempt to sort the story out. Phillip the Tetrarch was never titled "Herod". The "Herod" whose wife Herod Antipas took was apparently Herod II.
There is no contemporary evidence for Philip the Tetrarch's use of the name "Herod Philip" (Greek: Ἡρώδης Φίλιππος, Hērōdēs Philippos) as a dynastic title, as did occur with his brothers Herod Antipas and Herod Archelaus. Herod II is sometimes called "Herod Philip I" (because both the Gospel of Matthew[4] and Gospel of Mark[5] call the husband of Herodias "Philip"), and then Philip the Tetrarch is called "Herod Philip II".[6][7] Kokkinos says, "The stubborn insistence of many theologians in referring to Herod III as 'Herod Philip' is without any value...No illusory Herod Philip ever existed."[7][pp. 223–233]; [266] Philip the Tetrarch, "unlike his brothers, did not use Herod as a dynastic name."[8] Philip's half-brothers, Archelaus and Antipas, had adopted the name of Herod, "presumably" for a dynastic claim from Herod the Great.[9
Herod II was the first husband of Herodias, and because both the Gospel of Matthew[3] and Gospel of Mark[4] state that Herodias was married to Philip, some scholars have argued that his name was actually Herod Philip. Because he was the grandson of the high priest Simon Boethus he is sometimes described as Herod Boethus, but there is no evidence he was actually thus called.[5]