I haven't had a chance to read the other answers yet, but my first thought when you wrote this was, "Oh, I remember that phase...".
My daughter had a never-ending clear, runny nose from about February - May, when she was 8-12 months of age (my daughter is now 25 months). I kept waffling between thinking she had allergies, and thinking she had bronchitis.
But this truly sounds really familiar, and it turns out that it's really common. THE hardest time, healthwise, when it comes to being a mommy (especially a first time mommy, as I was/am), is the age right before your kidlets turn 1. Their immune systems are going nuts. My daughter seemed like she went from one sickness to another. Turns out this is completely common at that age. And when she WASN'T sick, she always had a clear, runny nose, seemed fussy, etc. I was CONVINCED she had allergies, because her daddy has allergies.
She was teething. My ped told me that a runny nose was not a symptom of teething, but boy was he wrong (as in the case of my daughter). I now know whenever my daughter is teething, because she'll get a clear, runny nose (she only has her two year molars left, thank God).
It is also very common for young ones to feel their teething in their ears (their mouth, ears and nose are all connected, makes sense...).
I hope that helps. It really does seem like it to me. Especially if you've seen docs and they've all said she doesn't have allergies.
BUT, if you're uncomfortable with that, please don't hesitate to see an ENT. Doctors have let me down many a time, so they aren't infallible, that's for sure! Seeing a specialist will, if nothing else, hopefully give you peace of mind. We can never be too careful with our precious little ones!