Did women in the lifetime of Mohammad (peace be upon him) and the Sahabah offer sacrifice on eid azha?
There are narrations about various women offering udhiyya or it being slaughtered on their behalf. Some of these include:
The wives of the Prophet ﷺ:
فلما كنا بمنى أتيت بلحم بقر فقلت ما هذا قالوا ضحى رسول الله صلى الله عليه وسلم عن أزواجه بالبقر
Aisha added: When we were at Mina, beef was brought to me and I asked, "What is this?" They (the people) said, "Allah's Messenger (ﷺ) has slaughtered some cows as sacrifices on behalf of his wives."
Fatimah, the daughter of the Prophet ﷺ:
أن رسول الله - صلى الله عليه وآله وسلم - قال : يا فاطمة قومي إلى أضحيتك فاشهديها ، فإنه يغفر لك عند أول قطرة تقطر من دمها كل ذنب عملتيه وقولي : إن صلاتي ونسكي ومحياي ومماتي لله رب العالمين لا شريك له وبذلك أمرت وأنا أول المسلمين
The Messenger of Allah ﷺ said: O Fatimah, watch your sacrifice while it is being slaughtered, because your sins will be forgiven with the first drop of blood and at that time say: "Indeed, my prayer, my rites of sacrifice, my living and my dying are for Allah, Lord of the worlds. No partner has He. And this I have been commanded, and I am the first of the Muslims." [6:162-163]
The daughters of Abu Musa:
وأمر أبو موسى بناته أن يضحين بأيديهن
Abu Musa instructed his daughters to slaughter their sacrifices with their own hands.