Who is the author of a literature of their own?

The correct option is Elaine Showalter.

A Literature of Their Own: British Women Novelists from Brontë to Lessing is a seminal work of feminist literary criticism written by the American literary scholar Elaine Showalter and published in 1977.

In this book, Showalter charts the history of women's writing and describes three major phases of feminist literary development:
1. The Feminine Phase (1840–1880): Women wrote in an effort to equal the intellectual achievements of the male culture, often using male pseudonyms (e.g., George Eliot, Currer Bell).
2. The Feminist Phase (1880–1920): Women won the right to vote and wrote to protest against male value systems, advocating for women's rights and sisterhood.
3. The Female Phase (1920–present): Women rejected both imitation and protest, focusing instead on defining and exploring unique female experiences and autonomy in writing.

Showalter's work remains foundational in establishing "gynocriticism"—the study of women's writing, female creativity, and the history of women's literature.