My daughter did this, but at a much younger age, so it's an entirely different situation, believe it or not. If it's done by a child under 5, its considered self-soothing. A lot of these kids stop doing it on their own. My daughter, however, showed no signs of stopping, so we had to intervene. We were seeing a psychologist to help of with this issue. She wanted to put my daughter on Prozac since she felt my daughter was doing it out of anxiety.
I didn't want to put an almost 5-year old on Prozac as a first intervention. In my daughter's case, she pulled hair out of her head. She was pretty bald on on side. Oftentimes, she would then start pulling hair out of other areas of her head. It was awful! But she did the hair-pulling as part of a ritual where she'd yank her hair, then suck her thumb. So, I wanted to get her to quit sucking her thumb. I felt if she stopped, the hair--pulling would stop also. The psychologist didn't agree. She felt we would be taking away a soothing technique, so the hair pulling would increase. I felt my way was worth a try.
We used a reward chart and rewarded her heavily for not sucking her thumb. And we never mentioned the hair-pulling--just the thumb-sucking. It worked! She quit sucking her thumb and pulling her hair. Now, over a year later, she has a gorgeous head of hair!
Again, this won't be applicable to your daughter. But maybe she can try putting tape on her fingers to make it harder to pull her eyelashes and eyebrows. This will also make her be aware of when she's doing it. Maybe she can also find another substitute to use when she gets that urge to pull (like a small ball she can squeeze). Just some ideas. Definitely seek professional help!
C.
www.littlebitquirky.blogspot.com