Antipater (son of Costobarus & Salome) - Was this son of Salome's father Costobarus or Joseph?

For the moment Tal Illan's article seems very well researched, and potentially more up to date than Wagner, who is occasionally wrong in this area, so I've gone with Costobarus

Private as you added the original profile, perhaps you have more for us here?

Wagner also suggests that the [Joseph Josephus ., Jr.] who married Olympias (daughter of Herod & Malthace) [Olympias ., the Herodian] was another son of Uncle Joseph [Josephus of Judea (uncle of Herod the Great)] & Salome - rather than the son of Herod & Salome's, full brother, Joseph [Josephus ., Sr.]

But again, I can't find corroborating sources. If Joseph Jr is just described as 'Herod's nephew,' the ambiguity is that he is that whether he's the child of Herod's sister, Salome; or of his brother, Joseph.

Richardson (Herod: King of the Jews, Friend of the Romans) suggests Salome only had children by Costobar:
• Alexander
• Herod
• Berenice (who first married Aristobulus, then Theudion, Doris's brother)
• Antipater (who married Cypros daughter of Herod and Marriame the Hasmonean)
• unnamed daughter (who married the son of Alexas, Salome's third husband)

The husband of Olympos is given as the son of Herod's brother Joseph

However, Richardson is of course a secondhand source.

Eisenman's 'The New Testament Code'(2006) agrees with Tal Ilan & Richardson, & places Antipater as the son of Costobarus & Salome.