Not trying to sound sarcastic but my personal advice for this one is to get a new camera. This image has very bad noise and poor color al around. I could fix it but it's not a 5 minute job to do it right, more like half an hour or so.
Basically, to fix this you need to use masks and adjust certain areas differently. The bluish shadow can be corrected but then it will turn the baby red so use a mask to correct that area, then another mask for the baby, then another for the blanket. You might also want to do a very light gausian blur to smooth out the skin tones (use a mask and opacity for this so you get good blends and don't loose much detail). The healing brush won't do too much here as the noise is pretty evenly distributed & the healing brush uses texture pulled from other parts of the image, you would be replacing noise with noise.