I have to say these are misleading statements.
Women never were prohibited from voting by the national government. Women voted in NJ in national elections from the very start. They were prohibited later when a politico was upset they voted against him.
Until the 19A it was up to the states who could vote. Women were nowhere automatically barred from voting in the US.
Talk to sentis1 since he brought it up; he might have something to say about it...