I tried to read Lott’s analysis of government growth corresponding with women’s suffrage, but it was basically written in over-my-head terms that only other stat geeks could understand.
I have no idea whether government growth actually took place because the new women’s voting bloc supported said growth, or because government simply took advantage of the new voting bloc.
It’s all academic anyway. CIDKauf is right to say that the 19th will never be repealed.