All these Ahadith are related to the same topic: haydh. Mostly similar, with a few differences. Will explain one by one inshaAllah.
Fatima bint Abi Hubaish asked the Prophet, “I got persistent bleeding (in between the periods) and do not become clean. Shall I give up prayers?” He replied, “No, this is from a blood vessel. Give up the prayers only for the days on which you usually get the menses and then take a bath and offer your prayers.”
More on it here.
Narrated Um ‘Atiya:
We never considered yellowish discharge as a thing of importance (as menses).
(the wife of the Prophet) Um Habiba got bleeding in between the periods for seven years. She asked Allah’s Apostle about it. He ordered her to take a bath (after the termination of actual periods) and added that it was (from) a blood vessel. So she used to take a bath for every prayer.
Bath = wudhu. Read more on abrogation here.
(the wife of the Prophet) I told Allah’s Apostle that Safiya bint Huyai had got her menses. He said, “She will probably delay us. Did she perform Tawaf (Al-Ifada) with you?” We replied, “Yes.” On that the Prophet told her to depart.
Similar situation here.
Narrated Ibn ‘Abbas:
A woman is allowed to leave (go back home) if she gets menses (after Tawaf-AlIfada). Ibn ‘Umar formerly used to say that she should not leave but later on I heard him saying, “She may leave, since Allah’s Apostle gave them the permission to leave (after Tawaf-AlIfada.)”
Similar to previous one.
The Prophet said to me, “Give up the prayer when your menses begin and when it has finished, wash the blood off your body (take a bath) and start praying.”
Narrated Samura bin Jundab:
The Prophet offered the funeral prayer for the dead body of a woman who died of (during) delivery (i.e. child birth) and he stood by the middle of her body.
Such women have the right to be prayed salat-ul-janazah upon. Plus, they’re not impure. Note: Prophet (SAW) stood by the middle of her body, not far far away.
(the wife of the Prophet) During my menses, I never prayed, but used to sit on the mat beside the mosque of Allah’s Apostle. He used to offer the prayer on his sheet and in prostration some of his clothes used to touch me.”
More on it here.
The overall concept that needs to be instilled in our minds is: haydh itself is impure, but it does not make humans impure. A menstruating women (believing) is as pure as a non-menstruating woman. The only difference is, she has some benefits over the other. For example, she doesn’t pray, she doesn’t fast, she can’t be divorced during her menses etc. She can do other sorts of worship like dhikr and charity etc. She can hold the Qur’an, being careful not to touch the Arabic text. She can recite the Qur’an, out of memory or by reading. She can sit on the prayer rug. And she can do a lot of other things as well. Many examples came in Kitaab-ul-Haydh.
This was, by the way, the last post from Kitaab-ul-Haydh. Tomorrow, Kitaab-ut-Tayammum (Book of Rubbing Hands and Feet with Dust) begins. :)