The League of Women Voters was founded right after women earned the right to vote.
In her 1919 address to the National American Woman Suffrage Association's (NAWSA) convention in St. Louis, Missouri, President Carrie Chapman Catt proposed the creation of a "league of women voters to finish the fight and aid in the reconstruction of the nation." Women Voters was formed within the NAWSA, composed of the organizations in the states where suffrage had already been attained. The next year on February 14--six months before the 19th amendment to the Constitution was ratified--the League was formally organized in Chicago as the national League of Women Voters.
Carrie Chapman Catt described the purpose of the new organization:
"The League of Women Voters is not to dissolve any present organization but to unite all existing organizations of women who believe in its principles. It is not to lure women from partisanship but to combine them in an effort for legislation which will protect coming movements, which we cannot even foretell, from suffering the untoward conditions which have hindered for so long the coming of equal suffrage. Are the women of the United States big enough to see their opportunity?"
Maud Wood Park became the first national president of the League and thus the first League leader to rise to the challenge. She had steered the women's suffrage amendment through Congress in the last two years before ratification and liked nothing better than legislative work. From the very beginning, however, it was apparent that the legislative goals of the League were not exclusively focused on women's issues and that citizen education aimed the entire electorate was in order.
Since its inception, the League has helped millions of women and men become informed participants in government. The League's areas of study are diverse: in fact, the first League convention voted 69 separate items as statements of principle and recommendations for legislation. Among them were protection for women and children, rights of working women, food supply and demand, social hygiene, the legal status of women, and American citizenship. The League's first major national legislative success was the passage of the Sheppard-Towner Act providing federal aid for maternal and child care programs. In the 1930s, League members worked successfully for the enactment of the Social Security and Food and Drug Acts. Due at least in part to League efforts, legislation passed in 1938 and 1940 removing hundreds of federal jobs from the spoils system and organizing them instead within the Civil Service. During the postwar period, the League helped lead the effort to establish the United Nations and to ensure U.S. participation. The League was one of the first organizations in the country officially recognized by the United Nations as a nongovernmental organization; it still maintains official observer status today. You can read more League history here.