There aren't more lady songwriters for the same reason that there aren't more lady doctors or lady accountants or lady lawyers; not enough women have the time for careers.
“I started in radio, again accidentally. I wasn't looking for this kind of work at all.”
“I played with dolls until I was 15. My mother encouraged it because my older sister got married when she was 15, so Mom thought that the longer I stayed with dolls, the better.”