There would be emergencies, although not often, and yes I would always answer them if I had to. Getting on a call is sometimes not possible when you have the kid so I used chat/IM more. My wife was very understanding this, mostly because she was not around much of the time as she was working very long hours! Jonathan the founder was also very understanding (really good guy) and if I really could not be available I would make sure the others knew. I also became very good at multi-tasking - feeding the baby while debugging server issues? No problem! ;)
Would I do it this way again? I'm not sure, it was tough, but the company was a very good experience, and I don't think that I missed out on anything with my child, or that I was a terrible parent.