In reply to Martin not maisie:
Recommendation depends a bit on what you want it for. If your daughter mainly (or always) climbs indoors, lightness and ease of movement are probably your priority, if she is climbing a lot of trad routes outdoors then the number of gear loops is going to be important and she will want something with a bit more padding because she might be hanging in the harness for a bit longer and being comfortable becomes an issue.
I wouldn't worry so much about height. I have yet to see a harness that didn't fit because of height, the issue in my experience is always either leg-loops or waist-loop or both.
Bottom line is: Go in to a shop and try a few harnesses on. The leading manufacturers of harnesses all create such high quality products these days that a lot of the decision comes down to personal preference.