Teething at 10 weeks??

Jennifer
My daughter will be 3 months on the 10th...and lately she has been sucking on her hands and putting them in her mouth, she also has a lot of saliva in her mouth and tend to drool and at times wet my shirt from just laying on me. She also tends to nibble on her nipple when I feed her sometimes instead of sucking. Is she teething?? My grandmother says she nibble on the nipple because her stomach hurt but I don't think so...but she also tells me she is too young too be teething. Anyone else LO doing something similar???