Since your girl is:
1. Showing interest in photography
2. Having a keen eye and probably hidden potentials
3. Presumably in P5 next year (with projects, friends' outings, school events etc coming in)
If I were you, I would get her a Lumix FZ18 prosumer, basing on the facts that it offers:
1. OIS. She needs clear pictures for all her requirements, be it indoors or even momentarily camera shake with her giggly girly groupies (I've got a 9-year old girl, I know
). This would help boost and maybe keep her interest in this hobby. No matter what, stabiliser is and will be the in-thing in future cameras.
2. Grid lines. She can learn the basics of composition without imagining (children needs clear indicators).
3. Manual options. She can either rely on auto-pilot or manual overide. This gives her a choice according to events or requirements.
4. Zoom capability. From normal to 23X (5 and below megapix) allows her to learn a thing or two about zooming. (Keeping children constantly amazed means keeping their interests).
5. Weight. At less than 500g, it's light and handy to keep her from tiring out unnecessarily. It prevents potential neck and back problems too.
6. Type. Being a prosumer, it gives her a more purposeful stance (not only for her, but for teachers who may be doing talent-spotting, which we adults call it arrowing)... but of course, this is subjective.
7. Fixed Lens. No dust or foreign materials in the sensor to worry about.
8. Cost. This camera is comparatively cheaper, so if touch wood anything happens, you won't feel you've lost a piece of meat.
9. It's new. Being one of the latest in the market may lend some interest rather than knowingly getting "hand-me-downs" or cut-cost-entry-models.
Off hand, these are some of the advantages I think you can give to your girl. Of course, some may disagree, but that's just my two cents worth.
PS: I don't work for Lumix. Cheers!