Aww, very cute!
Children--small babies even more so--are extremely difficult for the reasons Eduardo mentions. Their soft skin and features make it difficult even in the best of lighting.
But I do think that a baby's portrait is going to be something much different than a portrait of a much older person. And as such, you have a good start here.
I would definitely leave the face and move onto covering up the rest of the canvas, if only just covering with local color. That will make a very big impact on how the face looks. After the background (around the face at least) is covered, you can go back to the face and make what adjustments you need.
Looks like a great start to me, keep us updated!
~!Carey