If a woman's prayer in her home is better, then why did the female companions (Sahabiyat) attend the Fajr prayer in the mosque, and is the evidence for the superiority of congregational prayer exclusively for men?

A woman's prayer in her home is better for her than her prayer in the mosque, even if it is one of the virtuous mosques. This is indicated by the hadith of Umm Humayd, and other hadiths further clarified it: "Your prayer in your home is better for you than your prayer in your chamber, and your prayer in your chamber is better for you than your prayer in your courtyard, and your prayer in your courtyard is better for you than your prayer in the mosque of your people, and your prayer in the mosque of your people is better for you than your prayer in my mosque." Thus, the more private the place for a woman and the further it is from mixing with men, the better the prayer is for her, while it is permissible for her to pray in mosques, according to the Prophet's saying: "Do not prevent the female servants of Allah from Allah's mosques, though their homes are better for them." Women used to go out to pray to hear the recitation of the Prophet, peace and blessings be upon him, and their eagerness for knowledge, while adhering to Islamic manners. When some women deviated from this, Aisha, may Allah be pleased with her, said: "If the Messenger of Allah, peace and blessings be upon him, had seen what women have innovated, he would have forbidden them from the mosques as the women of Bani Israel were forbidden."