Little House on the Praire? Women and Men in the show?

[Proud Army Wife]

What were the controversies in the show, Little House on the Prairie, concerning women? I know they were unequal to men, but how? What happened in the show or was obvious that women were unequal? I know they were not allowed to vote during that time? Were there any historical events shown in the show?
But, didn't Harriet Olsen own a hotel?? And Caroline worked there?