Let me just clarify, i wasn't worried that the baby actually was cold it just conveyed that emotion. 
I would try to color correct the previous images where the baby looks more healthy to red on the forehead or eyes.
Here is a color correction made "pretending" the white paint on he tiles in front of the subject should be neutral white. The color correction was used using curves and adjusting the rgb values of each channel to match. (now this image might be way to warm for your taste, and the background is most likely not truly white to begin with)
EDIT
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This gives you a starting point and from there you can tweak it to taste.
Best way to do this is to shoot a color target like a checker or a greycard, set your whitebalance from there to get a accurate whitebalance. From there you can then adjust to your liking, the risk of not doing this first that you will enhance any color cast from an incorrect whitebalance once you start to edit. This will affect the skin tones and your whole scene.