What were the major issues facing women in the late 19th century?
Assuming that we are talking about women in the United States, the most important issue that faced them (that was directly tied to the issue of women's rights) was the desire for the right to vote. At the end of the 19th century, women like Frances Willard were pushing hard for that right.
Most of the other issues that were of concern to women and to women's organizations like the WCTU were not directly connected to women's rights. Instead, they were more generally progressive issues like temperance, federal aid to education, and labor reform.
Women who were politically active in the late 1800s were generally asking for one major right--the right to vote. Outside of that, they were interested more generally in pursuing progressive reforms.