L., I am sure by now you are considering Baptist with all of the positive responses. But I'd like to suggest that you look at St. Francis in Bartlett, if that isn't too far from your home. It is operated by the same company as the St. Francis on Park Ave., so your insurance should work there, too.
St. Francis- Bartlett is the newest hospital around, so the facility is clean and up-to-date. I am due with my first child at the end of September and will be having my baby there. I have had a few same-day surgeries there, and the staff was very attentive & friendly. They also have a lot of security measures in place in the Labor & Delivery department to ensure that no one can come in who doesn't belong there.
I have a lot of family members who are in the medical field who have told me that Baptist operates under some of the highest nurse-to-patient ratios around, which means that there are fewer nurses per patient than other local hospitals such as Methodist or St. Francis. Note that this is word of mouth from other nurses & medical staff.
Good luck to you regardless of which hospital you choose!!