sweetpeasmama, so sorry your little one had to go to the ER.
There is only one hospital in Chapel Hill. It's a huge teaching hospital with an excellent reputation and a number of specialty hospitals, including a Women's Hospital and a Children's Hospital under it's wing, but it's all one big complex. Here's a linky: http://www.unchealthcare.org/site
. (All the hospitals that say N.C. are UNC in Chapel Hill. Rex is in Raleigh, but recently came under UNC Hospitals jurisdiction.)
Nearby in Durham is Duke hospital
and Durham Regional
, which are both run by Duke. Duke hospital has an excellent national reputation, too, with folks coming from all over the country/world for specialized care.
This area has a very big conventional medicine reputation. Durham calls itself "the City of Medicine". I am sure there are some doctors in all the area hospitals who would give you grief over co-sleeping and breastfeeding and non-vaxing, BUT there are a lot of folks who do all those things here, too, so you may very well run into those folks at the hospital, too. Generally, I don't tell if they don't ask and after a certain age people just don't ask if you're breastfeeding or co-sleeping any more. There are a lot of alternative practitioners here, too, so don't let the big conventional med reputation alarm you. You can find lots of other kinds of health care here, too.
UNC is striving to be family friendly and encourages all babies born there to room in with their moms and encourages breastfeeding, etc. I think it would be fine in an emergency (although I try to avoid hospitals in general). NC does not have a philosophical vax exemption and as a whole the state is very pro vax (again, there are plenty of folks in this area who do not vax) so you have to have a religious or medical exemption. The medical is very hard to come by (your dr has to recommend it), but a lot of folks have the religious exemption which is nothing more than a statement that it's against your religious beliefs. If I were to end up in the ER with my kids I would just try to avoid the question because I would worry that even if I said I had a religious exemption the drs would not be happy about it. Some, I'm sure, wouldn't mind, but it's such a hot button issue that I would rather not deal with it. If they push you, though, you can just tell them you have a religious exemption and there's nothing more they can do.
Overall, if I had to go to a hospital, I'd go to UNC, but, of course, I'd rather not! I think Duke has a more interventionist approach to birth and other things. Sometimes it's appropriate (cancer, etc), but overall I think I'd prefer UNC. My dad was at Duke for 3 months, though, so that's probably coloring my perception. Cafeteria's not bad, though!