As Richard Bell noted in his work Simone Weil: The Way of Justice as Compassion, Weil has influenced a number of literary authors and mentions a few of them: T.S. Eliot, Flannery O'Connor, Dwight McDonald, Mary McCarthy, Iris Murdoch and Susan Sontag.
I have collected three works on the influence of Weil on McCarthy:
Daw, Sarah Harriet. 2015. "Writing Ecology in Cold War American Literature." PhD Diss, English, University of Exeter. See Chapter 4 ‘Capitalism’s Rubbish’: Socialism and “Nature” in Birds of America, pp. 190-233 which discusses Weil’s influence on Mary McCarthy
Inhoff, Marcel. 2020. "“Ladies and Gents, Ladies and Gents” – Mary McCarthy, Elizabeth Bishop and Female Autobiographies in American Postwar Literature." Women’s Studies: An Inter-disciplinary Journal 49 (4):405-425. Compares Mary McCarthy and Elizabeth Bishop especially in light of strong impact Weil had on both of these authors
Sumner, Gregory D. 1996. "Nicola Chiaromonte, the Politics Circle, and the Search for a Postwar “Third Camp”." In Twenty-four Ways of Looking at Mary McCarthy : The Writer and her Work, edited by Eve Stwetka and Margo Viscui, 7. Westport, CT: Greenwood Press. Very brief reference to influence of Weil on McCarthy on page 56
To locate works on Weil's influence on other authors browse the Simone Weil Bibliography by keywords (in advanced search) and select the author's name. Note if you search "influence" in the basic search you will see a listing of all works discussing her influence.