Flavius Josephus, Antiquities of the Jews
William Whiston, A.M., Ed.

[145] But as for Bernice, she lived a widow a long while after the death of Herod [king of Chalcis], who was both her husband and her uncle; but when the report went that she had criminal conversation with her brother, [Agrippa, junior,] she persuaded Poleme, who was king of Cilicia, to be circumcised, and to marry her, as supposing that by this means she should prove those calumnies upon her to be false; and Poleme was prevailed upon, and that chiefly on account of her riches. Yet did not this matrimony endure long; but Bernice left Poleme, and, as was said, with impure intentions. So he forsook at once this matrimony, and the Jewish religion; and, at the same time, Mariamne put away Archclaus, and was married to Demetrius, the principal man among the Alexandrian Jews, both for his family and his wealth; and indeed he was then their alabarch. So she named her son whom she had by him Agrippinus. But of all these particulars we shall hereafter treat more exactly. ¹