A Woman's Face (1941) is a fantastical hard-luck-lady flashback courtroom film noir blackmail tale of gender expectation, bitterness and plastic surgery.
One of several plastic surgery miracle movies made in the era, it seemed like the trope and myth of the plastic surgeon and face exchange being ideal narrative material on the big screen.
Most meaningfully and in the terms of the noir universe these are Dark Passage (1947), Black Dragons (1942), Nora Prentiss (1947), Stolen Face (1952), G-Men Never Forget (1948), Dead End (1937), The Second Face (1950), It Happened in Hollywood (1935), and then She Demons (1958) a strangely far out genre find, Arsenic and Old Lace (1944), and with The Raven (1935), that might be enough for now, although others will materialise, that is certain.