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I did another shoot.
The baby was Very, Very hard to get to look at the camera.. had to have my spouse get over my head and talk to her constantly.. Finally, using what you said.. get the subjects to be close as possible.. I had the mother whispering to the baby and giving her kisses.. that worked..
But still, the baby's skin is so translucent...I guess that is just the way it is going to be?
A huge improvement both with lighting pattern, pose and exposure. Skin is what it is and you appear to have captured skin tones of mother and baby accurately. Exposure on the faces is spot on with the highlights in the flower of the headband just below clipping and the red channel on the baby's cheek about 1/3 stop below clipping.
Part of the process of learning lighting is training your eye to see the differences different lighting strategies make on the faces. That requires trying different strategies on the same faces and compare the results side-by-side. As I mentioned before problem the centered lighting pattern solves is getting optimal lighting on both of the faces at the same time.
Keeping the faces together is one part of the solution which you did here. My other suggestion was to use a centered butterfly pattern which makes it easier to light faces when they are turned different directions to relative to the key light. That's not what happen here.
Both the shadows on the baby's face and the catchlights in her eyes indicate the key light or some other large source (window?) contributing light is to the right of the camera. That sideways lighting from the right works great for modeling the face of the baby, putting her face 45° from the key light, but it put mom in her own shadow with shaded eyes. Here that's not noticed much because her eyes are also closed.
Had the "key" light been centered over the camera aimed directly at the baby's nose we'd see a symmetrical pattern of lighter toned shadows framing the baby's face and more light on the mother's face. I've edited below to try to illustrate to how it would have look with the centered butterfly strategy I suggested for group shots so you can visualize the differences between what I suggested and what you wound up doing...
If you have an opportunity to shoot a similar pose try shooting as you did here with key light to the side, then try as I suggested with both lights centered directly above and below the lens, with no other sources influencing the modeling. By comparison you should see by the baby's face framed with identical shadows on each side with more light on the front of the mother's face and eyes as in my edit.