AFAIK (and I am not an expert) it depends on how early the child is born. Before 32 weeks (which is only 7 months, so it is very early) then the child will have to go to somewhere with very specialised equipment. However, if a child is born that early anywhere in the country they will still be brought to one of the maternity hospitals, again AFAIK. If there are other complications and the child is full term, they may be able to deal with it in MC, but the child may have to go to a childrens hospital (again, I know someone who's baby had to go to Crumlin imediately after being born, which was difficult as she was breastfeeding, but mother and baby are doing well). If the child had been born in HS, or one of the other maternity hospitals, then they would have had to be moved as well.
These stories of complications are rare, with a bit of luck it's something you won't have to deal with!!