"In 1869, Wyoming became the first territory of the United States to grant general female suffrage, and entered the union in 1890 as the first state where all women had the vote."
Congress required a certain population (500,000?) in a territory before it applied for statehood. Some Western Territories, eager to join the United States, allowed any settler of age to vote to statisfy the numbers requirement. Many Wyoming legislators -- all male -- hoped it would attract more single marriageable women to the region.
After Wyoming, the sequence of suffrage was:
1896 Utah and Idaho
1912 Arizona, Kansas, and Oregon
1913 Alaska Territory, Illinois
1914 Montana and Nevada
1917 New York, Nebraska, North Dakota, Rhode Island
1918 Michigan, Oklahoma, and South Dakota
1919 Indiana, Iowa, Maine, Minnesota, Missouri, Ohio. Tennessee, and Wisconsin
1920 - 19th Amendment
Right before the passage of the 19th Amendment, Woman Suffrage, the rising tide of women voters in the states influenced the passage of the 18th Amendment, National Prohibition.