Final answer:
Carrie Chapman Catt from NAWSA developed the 'winning plan' to gain suffrage by strategically linking suffrage to women's traditional gender roles, aiding the acceptance and eventual success of the movement.
Step-by-step explanation:
The leader of the National American Woman Suffrage Association (NAWSA) during the second generation of the first wave of the suffrage movement who developed the 'winning plan' to secure suffrage was Carrie Chapman Catt. Carrie Chapman Catt shifted the NAWSA's focus from a broad equal rights argument to a more strategic approach that linked suffrage to traditional gender roles. This strategy helped to make the idea of women's suffrage more acceptable to a society that still held very traditional views about the roles of men and women.
Under Catt's leadership, the suffrage movement started to see significant progress; her efforts played a pivotal role in the eventual passage of the 19th Amendment, which granted women the right to vote. It's important to note that while Alice Paul and Lucy Burns were also influential during this time, they eventually formed the more radical National Woman's Party, breaking away from Catt and the NAWSA primarily over differing tactics and philosophies in advocating for suffrage.