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I really like the original version. Please do not try to artificially whiten the color of the sclera, because it starts to look un-natural. Not only it is intense blue in some individuals, especially babies, but in this particular case it also reflects the color of the outfit.
If you want to bring emphasis to the eyes there is another technique that is very easy to implement in PS (there are multiple tutorials floating around): dodge highlights and mid-tones on the iris with a soft brush, set at ~6-7, lightly burn the mid-tones in the ring around the iris and shadows in the "structure" in the middle of the iris around the pupil (if you decide to darken the pupil itself, do it very lightly, to avoid harsh look), with soft brush set at 6-7, and then saturate the color of the light part of the iris with a soft brush, set at ~ 8. The goal is to create a transparent, "glow from within" look. You will need only very moderate adjustments to achieve the targeted look for this particular photo.