Slaves did not have rights to property, neither did the women. In fact, women lacked a lot of other rights (they couldn't vote, they were prohibited to exerce some carriers, and many others). It was only a matter of time for them to start comparing themselves to slaves, who also had no rights, and want it to change.
The Siege of Vicksburg was a major union victory because it allowed the Union forces to control the Mississippi River and had the effect to cut the Confederate forces in half by isolation.