Tombstone-
I think I see a depth to your original message that goes beyond creating a still or purifier with carried-in materials. Here are my thoughts:
Find or make any serviceable container for boiling water - an old can, a flat piece of metal that you could bend into shape, a hollow piece of wood to do the hot rock method, etc.
Prop hard non-absorbent or soft absorbant cover on a slant over the open top of the container. It might be another piece of scrap metal you find, a flat stone, or a smooth piece of hard wood. Or it might be a piece of cotton cloth. The idea is to get the steam to condense on the surface and run down to the bottom, where it would drip off into a container or onto a wadded bundle of material or fiber. If you choose a soft absorbant cover, then it would act as the condenser and catch-all.
You would have to work at the edge of your fire so that your catch basin would be outside your fire ring. You would also want to set it up in a way that would not need constant supervision so that you could go about your business and not pour more energy into it than it's worth. A lot of steam would be lost since it doesn't make an enclosed trap, but if it's working for you while you go about other tasks, just keep adding more water to the pot to keep making more steam.
I have not tried this yet, but I've been pondering it for at least several years. Maybe I should just do it, huh?