My wife and I have several DSLRs that we have bought over the last 11 years to take pictures of the kids. While they do take great pictures, a SLR camera body and a nice lens are not a 'carry everywhere' reality. In fact, more times than not, we now find ourselves opting for my wife's iPhone 6 Plus
most of the time. We will take the DSLRs on vacations and special events (recitals, little league, family reunions, holidays, etc.) but the rest of the time her iPhone takes GREAT point and shoot pics. Plus, 90% of the time, she wants to share the pictures with friends and family. Sharing pics taken from her phone is much simpler than what we have to do to share photos taken with a DSLR.
TLDR: If all she wants to do is point and shoot at close distances, you may want to consider an iPhone camera. If you want a very nice dedicated point and shoot camera, consider the Sony Cyber-shot Rx100, or one in that class.
Otherwise, for DSLRs I can't say enough good things about our Canon gear. We have a Rebel XT, Rebel T3, and a 70D. Besides the kit lenses those bodies came with, we have an L series 24-105 (f/4), and an L series 24-70 (f/2.8) for lower light/indoor shots. We also have a Nikon 1 AW1, that we use when around water dirt/mud.
Last thing: This is a great site for camera research and reviews:
www.dpreview.comGood luck, and congrats on the grand baby!!