That's very interesting, Bookworm Girl.
A recent biography of Williams,
Charles Williams: The Third Inkling by Grevel Lindop has reignited interest in this once-famous, now largely forgotten author. He was certainly admired by C. S. Lewis and T. S. Eliot. Personally, I have always admired the mind-blowing novels but he did engage in Christian Drama and wrote several significant works in that genre. If you go to the site. "The Oddest Inkling" you can read more about him.
I don't know if he actually influenced Eliot to any significant degree, (or vice versa) but both were members of that High Church Anglo-Catholic movement which included C. S. Lewis. Williams, though, was certainly a much more heterodox Anglican than the latter.