When it comes to women in the wild west, there isn't much to be said other than that they were very limited when it came to work and unless they turned outlaw, there were only a select few jobs available to them. Their primary objective in life, however, was to look after their family. Most women who did so usually ended up helping their male siblings on the ranch or farm.
Despite a "code of honor" most men have, women were treated very poorly however any man who was raised by a fairly decent folk learned at a young age to respect the female gender. Most of them reverted this ideology though, due to their experiences in life or just plainly because they didn't agree with it.
If a woman became a widow, they would usually take over their husband's farm if they had one, and more than often worked alongside them and their children if they weren't busy taking care of the hold.
Most husbands and fathers also ended up teaching their daughters or wife "basic self defence". This involved shooting a firearm, both a revolver and rifle from several ranges until they somewhat mastered the art. Horseback riding wasn't considered an art, though, just a way of life. That's also why women rode horseback frequently and most of them even excelled at it even more than men, due to their fragile and agile frame.
Most women rose to some kind of authority whilst participating in religious acts, but their authority didn't extend far outside of the church. Any woman who wanted a real form of authority, even over men, usually turned to the gun and became an outlaw. Becoming an outlaw was good money for any female ─ really the only other job that would get most women any kind of money was prostitution. It earned them a load of money, pleasure, and protection from the local brothel's pimps.