The Lucy Stone League was a group of people who wanted to change the way women's names were handled when they got married. See, when a woman gets married, traditionally she takes her husband's last name instead of keeping her own. The Lucy Stone League thought this wasn't fair to women because it made it harder for them to build up a reputation for themselves under their own name.
The Lucy Stone League believed that women should be able to keep their own last name when they got married, just like men do. They wanted to make it easier for women to have their own identities and be recognized for their own accomplishments.
Today, more and more people are choosing to keep their own last names when they get married or use a hyphenated version of both the husband and wife's last names. This idea started with the Lucy Stone League and their fight for women's rights.