I'll offer you some examples of arguments made, based on actual documents from 1911. Then you can do some comparative analysis.
Arguments advanced against women's suffrage
... Suffrage is a privilege, not a right. Politics is no place for a woman, so for women to be involved in politics is really no privilege for them.
... Men have a responsibility to care for women, and guiding government is one of the ways men do that. They also go to war and will do whatever is needed to protect and benefit women. That's how we best give women a place of honor.
... A woman's place is in the home, and from there she can best shape the future of the nation by guiding children there. Or women can guide children as teachers in schools.
... Divorce and crime and other unwanted results will increase if we upend traditional roles and get women involved in politics.
... God has assigned different roles to men and women, and we should respect those different roles.
Arguments advanced for women's suffrage
... Women and men are equal intellectually.
... A democracy governs by the consent of the governed. Women are part of the governed, and so their active consent by voting should be sought.
... If women rightly are involved in the governing of the home, why should they not have the right to be involved in the way the larger family--society--is governed?
... In any states or countries where women have been given the right to vote, those laws have stood and have not been repealed. If such laws were mistakes, those states or nations would have pursued repeal.
... Women who are informed and involved in regard to public affairs are not "less womanly," but actually make better companions for their husbands and teachers for their children.
