can normals have the green eyes

i have one female dinker with eyes similar to the mojaves

Yes, I have several normals with green eyes. Usually they're the lighter colored ones.

do they make nicer babies when mixed with green eyed morphs?

A couple of my normals have green eyes. Personally I think it's based on their pattern. If you look closely you can see that their eyes match up perfectly with their markings. If the yellow line (that goes across both sides of their face) goes across their eye they will most likely have green eyes. On one of mine you can really see why I believe this. Her yellow line is just high enough to only cover the top half of her eye. You can see the pattern go straight across her eye, half her eye is brown, the other half is green-where the pattern goes across.

As for your question I doubt it. If your snake is lighter in general you MIGHT make lighter babies.

Thanks guys!
actually had my hopes up for her to be a subtle morph!

Do you have a picture of her?