It was widely rumored that Agrippa carried on an incestuous relationship with his sister Bernice prior to her marriage to the king of Cilicia. (Jewish Antiquities, by F. Josephus, XX, 145, 146 [vii, 3]) Josephus never mentions whether Agrippa was married or not.

Paul’s Defense Before Him. The Scriptures introduce King Herod Agrippa II and his sister Bernice at the time of their courtesy call on Governor Festus, in about the year 58 C.E. (Ac 25:13)