Does it smell musty in the wood shop? I'm thinking there could be mold spores in the air. But if any air currents move the fine saw dust around, that might be enough to cause the chicks trouble.
Hopefully, moving them to another room will help them start to breathe easier. You can use vaporizers with chickens. And misting the air with peppermint oil might help open their airways. You can use a spray bottle instead of a vaporizer if necessary.
If the chicks worsen, even after being moved, there's a terrific product called Oxine you can use in a mister to deliver a medicated mist that will kill mold spores in their respiratory systems and bacteria also. I bought some just to keep on hand in case I ever need it. It's also a strong disinfectant.