I think you’re citing the wrong case. At least according to Wikipedia:
Minor v. Happersett, 88 U.S. 162 (1875), was a United States Supreme Court case in which the Court held that the Constitution did not grant women the right to vote. The Supreme Court upheld state court decisions in Missouri, which had refused to register a woman as a lawful voter because that state’s laws allowed only men to vote.
Read the case. It' s there.