Some cats do react like that when they get petted - its something like they get so excited they don't know what to do. Rather like she's been overstimulated. Most often they'll swat at you with nails extended if they are overstimulated, but since her first line of defense is gone, she resorts to biting. Watch her signs, maybe she'll give you a look, maybe her body wil tense briefly. Pull away when she gives the first little sign so that you won't get bitten.

My Abby tries to eat tissues. We keep them out of sight from her. If you know your cat chews paper, its a good idea to keep any little pieces of paper hidden from her. A piece of paper here or there won't kill her, but a habit od eating paper every day could make her sick.