yes - I have a silk sweater on hand that made last year, but it's original color ( kinda white/cream ish ) I would like to change it to more an earthy tone, so I would need to solve this problem!

And then I'm also trying avoid chemicals as much as possible, including chemical dyes, yet they are everywhere...

why not? it's fun doing experiments:)! you got to learn so much and more freedom to make your own things, in your own style.