Why Lye Soap isn't Natural

It would be nice to be able to say my soap is natural, but I can't do that even though it is made with natural ingredients. The thing holding me back is that the key ingredient to the whole reaction is most definitely not natural. Sodium hydroxide (lye) is man made either by electrolysis or combustion. I suppose that a forest fire would leave some lye behind in the ashes, but how often does the opportunity arise to go on a wood ash extraction mission from a naturally caused forest fire? To produce a soap that I could confidently call 100% natural, that is exactly what I would have to do. The most accurate and truthful thing that I can say is that my soap contains natural ingredients. The soap that is found in nature is a by product of bacterial action on certain tissues in corpses so I am speculating that another way to produce an all natural soap would be to isolate and culture the bacteria responsible, create the perfect environment for them, and let them act upon fats and oils. Ugh though-I haven't run across any documentation of this happening between bacteria and plant oils! I believe that it is possible to breed a strain of bacteria that would produce soap from plant oils. If this was done, wouldn't such soap then be considered GMO soap?