According to Al-Biruni Alexander the Great was descendant of Esau.https://archive.org/stream/chronologyancie00sachgoog#page/n72/mode/1up
|Husham||Land of Teman|
|Shaul||Rehoboth on the river|
Note that the Herodian dynasty itself was of Idumaean extraction.
Avith ("ruin") was an Edomite city. It was the capital of the Edomite king Hadad ben Bedad. According to the Bible, Hadad ben Bedad was one of the kings of Edom before there were kings in Israel, that is, before the coronation of Saul ("widely" dated around 1025 BCE). Avith is mentioned only twice in the Hebrew Bible: in a list of Edomite kings in Genesis (Genesis 36:35), and in a copy of the same list found in Chronicles (1 Chronicles 1:46). Its location is unknown but presumably it was in what is now southern Israel or Jordan.Edom
Edom (; Edomite: 𐤀𐤃𐤌 ’Edām; Hebrew: אֱדוֹם ʼÉḏōm, lit.: "red"; Akkadian: 𒌑𒁺𒈠𒀀𒀀 Uduma; Syriac: ܐܕܘܡ) was an ancient kingdom in Transjordan located between Moab to the northeast, the Arabah to the west and the Arabian Desert to the south and east. Most of its former territory is now divided between Israel and Jordan. Edom appears in written sources relating to the late Bronze Age and to the Iron Age in the Levant, such as the Hebrew Bible and Egyptian and Mesopotamian records. In classical antiquity, the cognate name Idumea was used for a smaller area in the same general region.
Edom and Idumea are two related but distinct terms which are both related to a historically-contiguous population but two separate, if adjacent, territories which were occupied by the Edomites/Idumeans in different periods of their history. The Edomites first established a kingdom ("Edom") in the southern area of modern-day Jordan and later migrated into the southern parts of the Kingdom of Judah ("Idumea", or modern-day southern Israel/Negev) when Judah was first weakened and then destroyed by the Babylonians, in the 6th century BCE.
Edom is mentioned in the Hebrew Bible and it is also mentioned in a list of the Egyptian pharaoh Seti I from c. 1215 BC as well as in the chronicle of a campaign by Ramesses III (r. 1186–1155 BC). The Edomites, who have been archaeologically identified, were a Semitic people who probably arrived in the region around the 14th century BCE. Archaeological investigation showed that the country flourished between the 13th and the 8th century BC and was destroyed after a period of decline in the 6th century BC by the Babylonians. After the loss of the kingdom, the Edomites were pushed westward towards southern Judah by nomadic tribes coming from the east; among them were the Nabataeans, who first appeared in the historical annals of the 4th century BC and already established their own kingdom in what used to be Edom, by the first half of the 2nd century BC. More recent excavations show that the process of Edomite settlement in the southern parts of the Kingdom of Judah and parts of the Negev down to Timna had started already before the destruction of the kingdom by Nebuchadnezzar II in 587/86 BCE, both by peaceful penetration and by military means and taking advantage of the already-weakened state of Judah.Once pushed out of their territory, the Edomites settled during the Persian period in an area comprising the southern hills of Judea down to the area north of Be'er Sheva. The people appear under a Greek form of their old name, as Idumeans or Idumaeans, and their new territory was called Idumea or Idumaea (Greek: Ἰδουμαία, Idoumaía; Latin: Idūmaea), a term that was used in New Testament times.List of rulers of Ammon
The following is a list of rulers currently known from the history of the ancient Levantine kingdom Ammon. Ammon was originally ruled by a king, called the "king of the children of Ammon" (Ammonite: 𐤌𐤋𐤊 𐤁𐤍𐤏𐤌𐤍; Hebrew: מֶלֶךְ בְּנֵי עַמֹּון melekh bənê-ʿAmmôn). After the conquest of the Neo-Babylonian and Achaemenid Empires, Ammon was maintained by an administrator (עֶבֶד ʿebhedh, literally "servant"; Greek: ἡγούμενος hēgoúmenos, "leader"). Only a modest number of Ammonite kings are known today, mostly from the Bible and epigraphic inscriptions.