RKO's Fred Hendrickson rarely is credited among the great Carole Lombard portrait photographers, but he took some fine pics, such as the one above. Another, possibly from the same 1940 session since Carole's hairstyle is similar, now is up for auction at eBay:
This image, CL-206 (one I've never seen before), is described as "stylish" by the seller, and I wouldn't disagree. Proof that Hendrickson took it is on the back of this vintage 8" x 10":
It's from the collection of the late George Smoots, and is labeled in "excellent" condition.
Bids for this rarity begin at $29.99, with the auction slated to end at 10:37 p.m. (Eastern) Sunday. If you'd like to bid, go to https://www.ebay.com/itm/CAROLE-LOMBARD-Original-Vtg-1940-HENDRICKSON-Stamp-RKO-STYLISH-PORTRAIT-Photo/142885219842?hash=item21449f6e02:g:4B4AAOSwzC9bPun-.
Win the auction, and you may feel as happy as Carole did when she posed for this Hendrickson portrait: