It could be teething but I was fortunate that my son was a very good teether and never seemed hugely bothered by it. It never affected his sleep. And during the day it was nothing a little bit of baby paracetamol or bonjela couldn't handle - even when he teethed all 4 molars at once smile
. Like you say, I don't think teething is that extreme that it would keep her up for weeks on end. Think back to when you lost your baby teeth as a child and new ones were coming through - we didn't all writhe around in agony did we? Mind you, the gum was already cut so maybe that throws that theory out the window haha.
Another thing to consider is that apparently at around 5 months of age babies' sleep patterns change and they start waking more fully every 2 hours or so during the night and if they don't know how to self settle then they will cry for you to do whatever you usually do to help them fall asleep.
Here's an article with other reasons that may be why she is waking: http://www.thesleepstore.co.nz/sleep-informatio...
Hope that helps