What a cutie pie! I'm a newbie here but thought I'd go ahead and jump with my own 2 cents...
#1 is a good capture; however, I'd crop in a little closer to put more emphasis on her lashes.
#2 I'm not sure I care for her expression. The focus seems a little soft and you can tell that you used your flash. Note the pin lights in her eyes. The lighting is uneven on her face as well. To camera left you see the natural light source, then camera right, you see what could be tungsten light--it looks orange to me-- and then you have the light from the flash on the front of the baby's face. I would recommend that you turn the baby to face that natural light source to prvide more flattering and even lighting.
It would also help if you posted your technical settings so we know what you are shooting. (i.e. ISO, shutter speed, aperture)
Hope this helps!