I don't know for the character you are using but as explained by Ghostship, last year I think, on Vic4's:

- the cornea is made invisible

- the reflection are handled on the "5_EyeSurface" material, using this trick:

The first time he showed us the trick, the GlossyBsdf was used, then he suggested the Blinn so that we could see the Point lights as well (if I remember correctly)
Example:

Anf both LaFemme and LaFemme2 have the EyeSurface (not tested yet)

𝒫𝒽𝓎𝓁

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