Aw, poor baby! Definitely sounds like teething to me. Anytime we see a waking around 10-11 pm (so soon after going to sleep, in other words) it typically means discomfort/pain.
Try medicating before bed and see if that helps. The BW method is to give as much comfort as necssary when sick or teething. We have to be careful abou giving bottles, but I suspect she's sucking to soothe the pain. What I'd probably try instead is giving her some meds, tell her you're going to go make a bottle and then wait to see if you hear from her again.
This strategy worked with my DS when he was getting in those eye teeth. Usually the meds started to kick in and he went back to sleep while waiting for me to come back. If she's insistent, I'd go ahead and let her have it, but make sure to cut that out as soon as teething symptoms abate.
Eye teeth are the worst! Almost every child I'v dealt with, mine included, had a lot more trouble with the eye teeth than even the molars. In our case my son has takena whole year to get in the 2 yr molars, and even still the eye teeth were much worse and disruptive!