just to say, dont give her supportive trainers until she has finished growing, otherwise it may change the way her body develops as her feet will start to rely on the trainers to support her.
new balance do a good range of cross trainers, try the 663 or the 1005 cross trainers.
Nike do some good Xtrainers as well but you have to be careful that you get a good pair and not a fashion pair.
I'd say you'd be best to go to a shop or two that can give you good advice on the models they stock.
Saucony and Reebok also do some good cross trainers, look for the saucony grid motion, grid r w and grid silhouette, and the reebok defy range.
Don't know about current adidas x trainers, but they have done good models in the past.