I also suffer, if it can be considered as suffer, from the same or similar thing. I believe it's the result of sleeping and having the mouth open at the same time, so that the inner mouth, lips and the top part of the throat naturally dry as the air is drawn into the lungs, warmed in the lung and then expelled.
I'm sorry I can't offer any definitive answer to this problem, but I have found that it was most useful to keep one of the smaller water bottles that have the flip type securing sealing nozzles close by my bed, and keep the bottle filled with water to which a small quantity of pure lemon juice has been added. That way when of if I wake during the night I am then able to quench my parched mouth, lips and throat from the bottle of lemon flavoured water that is beside my bed and easily accessible.
Sorry I can't be of any further help, perhaps someone else may have the answer or a better solution.