Most of what we know about the tetrarchy ruled over by Ptolemaios is from the historian Josephus. He conducted a number of wars in Lebanon, Judea, and Syria.
Lysanias was the son of Ptolemaios. In 33 BCE, he was killed by Marc Antony at the instigation of Kleopatra. The kingdom then fell to his son, Zenodoros.
85 BCE
Ptolemy son of Mennaios becomes tetrarch of Iturea and Chalcis.
40 BCE
Death of Ptolemy son of Mennaios. His son Lysanias becomes tetrarch of Iturea and Chalcis.
33 BCE
Lysanias, tetrarch of Iturea and Chalcis, is put to death by Marc Antony.
23 BCE
Zenodoros, son of Lysander, becomes tetrarch of Iturea and Chalcis.
20 BCE
Zenodoros suffers a ruptured intestine and dies, ending the tetrarchy of Iturea and Chalcis.