The Wine Room can get loud too--it's not exclusively for adults and you may very well find kids in there. It is, however, isolated a bit from the open kitchen area, making it more quiet in that respect. Also--if the restaurant isn't particulary busy, it won't be open. Or if there is a private party--they often rent out that entire room. No extra fee to be seated there--just ask when you check in.
Narcoossee's isn't very romantic either--high ceilings, wood floors, lots of kids.