She was a devout Republican, fought for the the right of women to vote. Expanding the vote has always been a Republican issue (Blacks, Women, Natives, Puerto Ricans). Anthony (also an ardent right-to-lifer) was arrested for voting in the 1872 election.
https://www.historyplace.com/speeches/anthony.htm
Friends and fellow citizens: I stand before you tonight under indictment for the alleged crime of having voted at the last presidential election, without having a lawful right to vote. It shall be my work this evening to prove to you that in thus voting, I not only committed no crime, but, instead, simply exercised my citizen's rights, guaranteed to me and all United States citizens by the National Constitution, beyond the power of any state to deny.