Josie's dressing table is actually the same little nook that Audrey stands in front of when she drives the Norwegians away. Talk about economical location use! They really squeezed all they could out of the Kiana Lodge. I'm always finding some new thing that they shot there.
At any rate, back to Josie's table. Basically I figured it out while obsessing over the wolfhound lamp that sits next to her in one of the first shots from the pilot. I was determined to find and purchase that lamp (or one of the same make). I became so familiar with that shot that I guess I had an imprint of the knots in the wood paneling on my brain. As I was going through my own photos of the Kiana Lodge interiors, I noticed that behind where Audrey stood were those very knots! I looked more closely and noticed the rather unique hinge in the corner and WOW, that was where they shot Josie at her dressing table! I later found and bought a lamp of the same model as the one in the pilot. See below.
Here's another still from the pilot of a wider shot of the room and some more photos I took of the nook.