Thanks guys, the cap looked stuck in around her eye under the skin so I was a little scared to even try tape.
After a long soak, and wetting her eye for about 15 min. and gently coaxing the cap off with a q-tip I was able to pull this sucker out:
It was terrifying, once the first half came out of under the skin I thought I was doing something wrong but once I got it out completely her eye looks great. I think maybe there was more down there than I thought since the skin was so thick around the sides of the cap, but I don't know how they usually look since this is my first time dealing with it.
Thanks again!