If you want to clean up the wooden hardware on that Millers Falls, might I suggest using a little denatured alcohol and a lint free cloth, or towel. Some places sell it as "fuel" or "ethanol" depending on where you are. I know there's some issues in different parts of the world. It's a perfect solvent for shellac and I'm just guessing here, but the finish looks like shellac that's dried out and begun to chip. The alcohol will bring it right back and allow for the shellac to bind to the wood again. Easy peasy.
I suspect that the Shelton #9 is a Millers Falls since the Miller Falls "No.4" is the only other plane maker that calls a No.4 a #9. But I'm no expert.
