Hi K.,
I don't know a lot about this, but my daughter got into the habit of pulling her eyelids by holding on to her eyelashes and pulling as a method of falling asleep. She hasn't removed eyelashes yet, but I wonder if it would have progressed to that. She has always had trouble getting to sleep on her own and has shown some OCD ways to attempt to relax at night (like putting her hands together, then apart, then together, then apart, over and over). When I see her doing the eyelash/eyelid thing, I just tell her to twirl her hair instead and sometimes I have to physically remove her hand (she'll resist a little) from her eye and put her hand on her hair. I haven't seen her do this in a long time now so I'm hoping that's what did the trick.
When people start a habit, the more they do it, the more their brain thinks that they need to do it (like addiction though instead of physical, this is physiological). So the solution is to retrain the brain. You can help your daughter by suggesting she replace this action with something else. If you talk about it, she can be conscious of it so that every time she starts to pull her eyelashes, she needs to do the other thing instead (whatever you come up with, maybe get a fringy type blanket that she can pull the strings). It will take a while, but you can retrain the brain to stop certain habits. I also highly suggest talking to your Pediatrician because obviously I could be wrong and it could be something else. I just wanted to make the point that sometimes little habits get out of hand (we don't realize we are doing something like that) and then we don't understand why we are doing it, but we just know we "need" to do it. So I hope this helps. Feel free to send me a message if you'd like to talk more. K.