'A'isha (r.a) reported that there was a solar eclipse in the time of the Messenger of Allah (ﷺ). He stood up to pray and prolonged his stand very much. He then bowed and prolonged very much his bowing. He then raised his head and prolonged his stand much, but it was less than the (duration) of the first stand. He then bowed and prolonged bowing much, but it was less than the duration of his first bowing. He then prostrated and then stood up and prolonged the stand, but it was less than the first stand. He then bowed and prolonged his bowing, but it was less than the first bowing. He then lifted his head and then stood up and prolonged his stand, but it was less than the first stand. He then bowed and prolonged bowing and it was less than the first bowing. He then prostrated himself; then he turned about, and the sun had become bright, and he addressed the people. He praised Allah and landed Him and said:
The sun and the moon are two signs of Allah; they are not eclipsed on account of anyone's death or on account of anyone's birth. So when you see them,
glorify and supplicate Allah,
observe prayer,
and give alms (charity).
O Ummah of Muhammad, none is more indignant than Allah When His servant or maid commits fornication. O people of Muhammad, by Allah, if you knew what I know, you would weep much and laugh little. Reference : Sahih Muslim 901; Book 10, Hadith; English reference: Book 4, Hadith 1966.
In this regard a woman is like a man, because of the general meaning of the texts. So women are also prescribed to do the same as is prescribed for a man, namely praying, calling upon Allah, seeking His forgiveness, giving charity, and so on.
If a woman has any impediment that prevents her from praying, then in this situation she can still do other things:
calling upon Allah,
giving charity,
seeking Allah’s forgiveness,
remembering Allah (swt),
and do other acts of worship by means of which she may draw close to Allah.
It is not a waajib, but whoever can take time out of work/ other engagements should really do so. We may not live to see another full solar eclipse, so grab this opportunity and beautify your book with this sunnah. Sisters who are not able to pray should spend that time in du’aa, adhkaar, istighfaar, tawabah and encourage their families. Do not depend on calendars and calculations, as they are not necessarily accurate. See the eclipse for yourself and begin the prayer.
And Allah is all-knower of all the things that you or we do.