around 2 months or so babies begin producing much more saliva, they don't know how to swallow when they're not eating so out it pours. a lot of people take this as a sign that the baby is teething.
she could be teething, but 3 months is pretty early. there are a few babies on here that got their teeth that early though, so it's not impossible.
i think 6 months is the "average" though.