Where would I find an environmentally neutral (no out-gassing of chemicals) carpet for my bedroom?
We've got two good sources for you, Barbara, but we're wondering what else our readers would recommend.
If you want no offgassing, carpet is not the best choice for flooring; there's a lot of adhesive in any carpet. However, there are two companies that claim to make wool carpet with all natural materials. We're familiar with Nature's Carpet and Earthweave. You can read more about the carpet these companies manufacture, and how they are different from other wool carpets, at this post we did a while back.
Note that Nature's Carpet has since supplemented their line with another manufacturers' carpet, so their offerings are now split into dark, medium, and light green products. If you're worried about offgassing, stick with the "dark green" products—the others aren't that different from other brands of wool carpet
We're guessing you'd like carpet because it's soft underfoot, or because it helps to keep a room quiet. With that in mind, another option is to stick with the carpet you've already got and throw a woven rug on top.