It could be related to teething, but some dogs just really, really enjoy chewing. I have a 3 year old who loves nothing better than a good daily chew (and I'm not talking about smokeless tabacco!)
From the look on his face when he is "lost in thought, chewing away" I think he just finds it very pleasurable!
Maybe you could get your baby a plush toy that she/he can enjoy chewing on instead of your blankets and pillows..
BTW:
Welcome! Can't wait to see some pictures!