Black Stone, Female Circumcision & Menstruation

According to Abu Hammam-his father-Ziyad b. Khaythamah–Abu Yahya Ba'i' al-Qatt: When we were sitting in the mosque, Mujahid said to me: Do you see this? I replied: Abu al-Hajjaj, (you mean) the Stone? He said: You call it a stone? I said: Is it not a stone? He said: Indeed, I was told by 'Abdallah b. 'Abbas that it was a white jewel that Adam took out of Paradise and used to wipe his tears, for after he left Paradise, his tears did not stop for two thousand years, until he returned to it and Iblis was no (longer) able to do anything to him. I said to him: Abu al-Hajjaj, why and how did it turn black? He replied: Menstruating women were touching it in the Jahiliyyah.⁸³¹(The History of al-Ṭabarī: General Introduction and From the Creation to the Flood, translated by Franz Rosenthal [State University of New York Press (SUNY), Albany, NY 1989], Volume 1, p. 303; emphasis mine)

According to Musa b. Harun–'Amr b. Hammad–Asbat–al-Suddi (with a chain of authorities which we have already mentioned): Sarah said to Abraham, "You may take pleasure in Hagar, for I have permitted it." So he had intercourse with Hagar and she gave birth to Ishmael. Then he had intercourse with Sarah, and she gave birth to Isaac. When Isaac grew up, he and Ishmael fought. Sarah became angry and jealous toward Ishmael's mother and sent her away. Then she called her back and took her in. But later she became angry and sent her away again, and brought her back yet again. She swore to cut something off of her, and said to herself, "I shall cut off her nose, I shall cut off her ear-but no, that would deform her. I will circumcise her instead." So she did that, and Hagar took a piece of cloth to wipe the blood away. For that reason women have been circumcised and have taken pieces of cloth down to today.²⁰⁴