I never heard that one before.
Liberals believe that individuals should be free to do whatever they please on the free market, within the law. Liberalism is more open to progress and change.
Conservatives look to conserve traditions and truths from the past.
Based on those explanations I gave above, if you are a conservative, then you would have been against women voting, and against segregation in schools. I guess women voting and segregation of schools were only emotional issues for liberals when these issues became hot topics in our nation.