Turn off the phone at night
Emergencies will occur but they should be the exception and not the rule. If that is not the case then something is wrong with the management and so there should be times when you can switch off the work phone and get on with some life outside of work. I have two children and I was present at the births of both with no problems the first well I was sufficiently far enough down the totem pole that I could be excused from the project for a couple of weeks with enough notice and how much more notice than 9 months do you need. By the time of my second, well I was the project manager. I simply delegated enough responsibility to other members of my team so that the project could continue in my absence for the 2 weeks I was taking off and because I am careful in training and mentoring my staff I'm confident in leaving them to continue in my absence.