If you are otherwise happy with the light position and settings, I would suggest you reduce the specular reflection strength on the appropriate eye materials.

By way of example, this is standard V4. The specular reflections on the Cornea, Tear and Lacrimal are generated by Anisotropic nodes in their shaders. Her right eye (on the left as we look at her) is "as loaded", and her left eye is with the Anisotropic node Specular_Value reduced to one half of its original value in the three shaders.

You can also adjust the size of the specular reflections by changing the u and v Highlight Size on the Anisotropic nodes.

"If I were a shadow, I know I wouldn't like to be half of what I should be."
Mr Otsuka, the old black tomcat in Kafka on the Shore (Haruki Murakami)