I'd limit any images in a hospital, its not the place to setup for portraits, so go easy. You need to pay attention to your wife, so don't worry about baby images.
When my first son was born, I had to take photos thru a hospital viewing window using my Canon FT, 50mm FL f/1.8 and Kodachrome ASA 25 film. That was a struggle! Flash was totally unusable thru the window. That was a few years ago. Now, I could do much better with a camera phone.