You might have to relocate the hairs to separate ziplock bags with less chemicals used to make them, if hairs age like some written documents. Certain chemicals in certain containers age items like this more quickly. I had the same problem with antique written documents...They look fine for a while until they are placed in a plastic paper holder...then the ink letters peel off, and it's basically a train wreck. I recommend going to office depot or any paper supply store, and ask for antique-safe plastic, or paper containers.
But yeah, what an interesting find...and yes, paper, depending on what was used to make it can be possibly harmful.