What is your budget? Without knowing, I'll suggest the following: +1 to Lee Industries. Also check out Ballard Designs for furniture (inc club chairs and ottoman) and decorative items, and Wisteria for the decorative items. Ballard offers custom fabric choices, and has a similar side table, https://www.ballarddesigns.com/georgia-round-side-table/furniture/living-room/coffee-accent-tables/479501?listIndex=42 It's interesting that Sandra Morgan refers to this room as inspired by the movie "Something's Gotta Give", so I'd look at photos of the original movie room for some more inspiration, https://hookedonhouses.net/2018/03/01/somethings-gotta-give-hamptons-beach-house/

Sorry, the pic wouldn't post in my reply above. eta: I guess it just took several hours for the pic to appear, thus the duplicate. from the website: Tiles can be installed using standard installation methods for thinset adhesives. A grout joint of 1/8" or greater is recommended. Use high quality adhesive from manufacturers such as Laticrete and Mapei, following manufacturers’ recommendations, depending on conditions. Clean with a neutral detergent. Just match the grout to the tile for that look.

Duplicate post - https://www.houzz.com/discussions/6204357/anybody-know-where-i-can-find-a-lattice-door-like-this#n=0

It's possible that it's paper, my paperhanger will laminate paper onto vents and other utilities. Look at Phillip Jeffries. They have nothing quite like this but they do have some very large scale specialty papers and metallics.