Chicken bleeding from the eye?

I have a 9 year old hen, and this morning I found her bleeding from her left eye. There's no sign of swelling, cuts, scratches or anything like that. I found quite a lot of blood spatters, so it looks like it's been going on for at least an hour, if not longer. At first I thought she had gouged it on something, but the surface of her eye looks fine, and the pupil is still reactive. The blood is thick, and almost bubbling out. I cleaned most of the excess blood off and put a little anti-biotic ointment on it, but I'm really concerned.

Thanks