Transnational feminism
In the "Oxford Handbook of Transnational Feminist Movements", Valentine Moghadam says that "women have worked together across borders since at least the mid-1800s. (55)" What is now called first wave feminism started in the early twentieth century in the West with a focus on women's suffrage. 
During World War II, the United States government gave women jobs because the war had caused a national shortage of labor. After the war ended, Irene Tinker says (oxford transnational), these jobs were taken away but women were no longer satisfied going back to their previous gender roles. Starting in the 1960s in the United States, second wave feminism emerged, defined by women's organization around "equal right to education, employment, and equal pay for equal work, and on sexual and reproductive rights."
Equality feminism
Equality feminism was the dominant version of feminism following Mary Wollstonecraft's "A Vindication of the Rights of Woman" (1792). Wollstonecraft made the case that women's equality to men manifests itself in education and worker's rights, and further produced a proverbial roadmap in order for future women to follow in terms of activism and feminist theorizing. Since then, active equality feminist include Simone de Beauvoir, the Seneca Falls Convention Leaders, Elizabeth Cady Stanton, Lucretia Coffin Mott, Susan B. Anthony, Betty Friedan, and Gloria Steinem.