Even thought Chanukah is one of the Yom Toivim where we say
"Af Hen Hayu B'oso Hanes" (women were included in the miracle)
women still do not light their own candles even according to the way of Mehadrin.
Whats stranger is that if a husband will be late to come home, many Poskim say to tell your wife to light. If so, why don't they light their own?