פירוש על בראשית 36:3

בשמת בת ישמעאל BASE-MATH ISHMAEL’S DAUGHTER — But elsewhere (28:9) she is called Mahalath! We find in the Agadic Midrash on the Book of Samuel (Ch. 17) that there are three classes whose sins are pardoned: a proselyte, one who is exalted to a high position and a man on his marriage. It derives the proof for the latter case from here; viz., the reason why she was also calleth Mahalath (pardon) was because his (Esau’s) sins were pardoned on his marriage to her (Megillah 17a; cf. also Genesis Rabbah 63).

ואת בשמת בת ישמעאל אחות נביות, “and Bosmat daughter of Ishmael, sister of Nevayot.” The Torah makes clear on this occasion that the basic name of Ishmael’s daughter was Bosmat, even though she was referred to as Machalat in Genesis 28,9. This lends support to the words of our sages in Bereshit Rabbah 67,13 that Esau intended to convert Machalat, and that G’d forgave him all his sins. (this מחילה, pardon, was alluded to in the name מחלת). Three kinds of people qualify for total forgiveness for their past sins: A convert to Judaism; a person who is promoted to high public office; a person who marries a woman. The source for this statement is the verse describing Esau as marrying Machalat.

BASMATH ISHMAEL’s DAUGHTER. But elsewhere Scripture calls her Mahalath!²⁴²Ibid., 28:9. I have found in the Agadic Midrash on the Book of Samuel:²⁴³Chapter 17. There are three persons all of whose sins are pardoned: a proselyte on conversion, one who is exalted to a high position, and a man on his marriage. It derives the proof for the latter case from here. The reason she was called Mahalath, [from the word mechilah (pardon)], is that Esau’s sins were pardoned when he married her. All this, [including the comment on Verse 2 above], is the language of Rashi.
But Rashi has not explained the reason why the father of Oholibamah, who, according to Rashi, is identical with Judith, is there²⁴¹Above, 26:34. called Be’eri and here called Anah. And Basmath Ishmael’s daughter is here a proper name while there,²⁴¹Above, 26:34. according to Rashi, is an adjectival noun on account of her burning the incense! And in Bereshith Rabbah, the Sages have said:²⁴⁴67:10. “Esau set his mind to repent. Mahalath means that the Holy One, blessed be He, did pardon him for his sins. Basmath means that he was content [with his well-born wives and his decision to repent].” Thus according to the Midrash, both names (Mahalath and Basmath) are descriptive, and their proper names are unknown. For this reason Rabbi Abraham ibn Ezra has said that she had two names, Adah and Basmath. Also in the case of Abijah, [king of Judah, we find that his mother had two names, Micaiah — II Chronicles 13:2 - and Maacah - ibid., 11:20].
It is possible to say that those two women [mentioned above, 26:34, i.e., Judith and Basmath], died childless perhaps as a punishment because they were a bitterness of spirit unto Isaac and to Rebekah.²⁴⁵Above, 26:35. Esau then married his wife’s sister Adah, the daughter of Elon, and another woman by the name of Oholibamah, the daughter of Anah. But as regards Ishmael’s daughter, sister of Nebaioth, [who was originally called Mahalath] ,²⁴²Ibid., 28:9. because of the repugnance of her name, [which suggests choli, (sickness)] in the Sacred Language, Esau called her by the honorable name of his first wife Basmath, derived from the word besamim (spices). This was because she was beloved by him since she was of his family and was not evil in the eyes of Isaac his father.²⁴⁶Ibid., 28:8.

אחות נביות SISTER OF NEBAIOTH — because he gave her in marriage after Ishmael’s death she is called after his name (Nebaioth’s sister).