I've recently acquired a Ensign Carbine No. 6 with Mulchro shutter, which is a bit slow below 1/10. Information on this is virtually nonexistent so I'd really appreciate any guide on how to clean and service this.
The big problem with that is, as you said, that information on a Mulchro is all but nonexistent. I do a lot of CLAs, mostly folders, and I've never even seen one. I think your best bet will be to flush-clean it. That's pretty much risk free. If you try to disassemble it though, you are probably going to run into problems and there will be nowhere to turn to for help. What follows are general instructions for flush-cleaning and lubing a shutter on a folding camera.
Flush cleaning: Remove the lenses, submerge the whole thing in lighter fluid or white/camp gas (naptha), and let it drip for awhile. do this several times, tripping the shutter several times, on different speeds, before and after each dip. Then set it aside somewhere and let the naptha evaporate. Clean both sides of the shutter blades with more naptha, on cotton swabs, and let it evaporate again. It isn't the best way to do it, but you'll get your shutter speeds back and if you do it this way you can be pretty sure you won't mess it up and it will still work.
Now for relubing it: Remove the face plate and clean the underside of it. Remove the shutter speed cam dial and clean both sides of that. Look at the inside of it, but do not disassemble further, since no service manuals, exploded diagrams, or other instructions on how to disassemble it and reassemble it exist. If you run into difficulties during disassembly or reassembly, you're screwed. There won't be anywhere to turn to for help. Oil lightly where absolutely necessary with a brush dampened with a 50/50 mix of naptha and watch oil or a light gun oil (like Remoil). Go very light on the oil -- better none at all than even a little bit too much. Put no oil at all on the shutter blades; they are designed to run dry and oil will make them stick together and stop working. Put a VERY thin coat of grease on both sides of the shutter speed cam dial and put it, and the face plate, back on. Reinstall the lenses and you're done.