Who was Bashemath's father?
Elon the Hittite.
And Esau was forty years old when he took to wife Judith the daughter of Beeri the Hittite, and Bashemath the daughter of Elon the Hittite. Genesis 26:34
Esau took his wives of the daughters of Canaan; Adah, the daughter of Elon the Hittite, and ... Bashemath Ishmael's daughter. Genesis 36:2-3