Kappa Alpha Theta was founded at DePauw University, January 27, 1870... I don't know what you mean about the first women's society... Alpha Delta Pi is the first women's fraternity, and Kappa Alpha Theta is still technically a fraternity. I'm not sure, I'll need help from an Alpha Chi on this one, but I think Alpha Chi Omega was the first sorority to actually be a sorority not a women's fraternity. Anyone founded before Alpha Chi is called a fraternity.
And Phi Mu was the second women's fraternity founded, on January 4, 1852 at Wesleyan College.
(I don't have this memorized, I'm getting it out of a book... so don't start to worry about me.
)