I got orders from Eydis fire_eye in fighters guild to kill egg poachers at the shulk egg mine. She gave me directions to the mine. I killed them and reported back to her. Know she won't acknowledge that I completed the quest. She keeps asking about the egg poachers. I'm not sure what's wrong. Any suggestions?

Did you go to the right mine? http://www.uesp.net/wiki/Morrowind:Shulk_Egg_Mine
And did you kill both hostile NPCs inside the mine?