Hello ? We've been having runny nose for 4 months and 2 weeks now, eve…

Hello ? We've been having runny nose for 4 months and 2 weeks now, ever since last night. I wake up every hour or so, and today I started coughing again. There's no phlegm or fever. Could the runny nose be related to teething? My saliva is flowing like a river, everything in my hand that I can reach goes into my mouth and chews ?