Mum2Ela: sorry, it took awhile, but here are my sister-in-law's favourite recommendations.....
Here are some of my chosen spots for hip and romantic restaurants. In list of preference and in some cases I provide a web link for more info.
Prune
Excellent country, hearty fare, cozy atmosphere. Reservations HAVE to be made in advance. It is on a cool little block that has quite a few hip places www.newyorkmetro.com/pages/details/2147.htm
Ino
In the West Village, on a romantic little block. This is more of an Italian wine that makes panini, salads and simple but delicious dried meats and cheese. It is very romantic and feels like a rustic Italian joint. I don't think they take reservation though. www.newyorkmetro.com/pages/details/2342.htm
Inoteca
The off-shoot of ino, this place is more spacious and has a more elaborate menu. It is the now trendy hood of the LES. I really like it here, service is good, wine list is great and it isn't too expensive. www.newyorkmetro.com/pages/details/9256.htm
Lupa
Haven't been but I have heard great things all around and I have been to the chef's other restaurants - he is good. It is a homey West Village spot with simple Italian fare. www.luparestaurant.com
Fleur de Sel
Jim and I went there for our anniversary and loved it. It isn't cheap. Tasting menu is $75 per person and the regular menu is about $25-$30 for entrees. It is very romantic, service is good, I know the sommelier and could put in a word. However, they don't have many vegetarian dishes but do have plenty of seafood and meat dishes. www.fleurdeselnyc.com
WD50
This is the coolest place in town. Wylie is the young hot-shot chef of the moment. His food can be a little too adventurous but it is a great atmosphere, cool wine list and again on the LES. www.newyorkmetro.com/pages/details/9123.htm