I looked at two examples of inlay at an open house at the Furniture Institute of Massachusetts. One chair was walnut and the other mahogany. I liked how the holly stringing stood out on the walnut and chose it as the primary wood.
It took several sketches before I selected the stringing and burl pattern. To avoid finish issues later I used Hyde glue for all the inlay.
The original lolling chair fabric in Winterthur museum was silk. Zimmans, Lynn, MA was able to come close to matching the pattern in but in cotton.
Upright Upholstery, Danvers, MA recommended using springs for the seat which was agreed to.
Finished chair before upholstery.