I think it is a very pretty name, although I must admit the only person I know who is named Eloise is an ooooold lady.
That said, I think she'll be fine, especially if you go for Lola as a nickname - that's a pretty "hip" name to counteract any old-fashionedness of her full name. Besides, there are many "older" names that are becoming quite common these days, like Lucy, Abigal etc, so I don't think your DD would stand out for having the name Eloise.
I hope your DD is home with you soon!
