Courtesy of Shorpy.com, here is a 1940 photo of Artie Shaw and Lana Turner in their Beverly Hills home. The caption reads: "Lana Turner and Artie Shaw with audio recording system in their Beverly Hills Home." Possibly rehearsing a movie script. Photo by Earl Theisen for the Look magazine article "Lana Turner and Artie Shaw at Home."
Shorpy has been running a lot of Look photos lately, and I think it's because the Library of Congress has received or at least revealed a huge cache of them on its website. Lots of shots from the 40s and 50s of celebs at home and on the set.
My mom had a suit very much like this; I've got a picture of her in it when she visited my dad at a Colorado Army base in 1942.