my thoughts:
the stock surefire G2 is over-recommended as a light for family or as a first light. to be honest, if you ever actually need a flashlight for longer than a few mintues the G2 sucks. after using mine every day i realized it eats batteries like crazy (i was using 4-6 cells daily) and is usually overly bright for most situations. during the short tenure the G2 was my work light i also found that straight drops from about head-height killed the lamp assembly and left me in the dark trying to work my back-up light out of my pocket.
Also; for the runtime and output the X5 is outdated. It is not a bad light and was my first EDC but it will only run for about four hours on 2 123 cells and has output that is a fraction of what the newer luxeon model lights are running with much greater runtime.
my personal recommendations (i use at least one of these lights daily for at least a few hours):
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Inova T-Series (I use the T2 daily because of the outstanding runtime)
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Surefire G2 with the Bugoutgearusa 3Watt LED Module
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Gerber LX 3.0 It's probably larger than your daughter would feel comfortable carrying but if she just wants a light to toss in her purse this is a good one. It is a direct drive Luxeon so with fresh batteries it's an absolute screamer but will still give a good runtime of about 2 hours 50 minutes per set of batteries. It also takes AA batteries so it is cheaper to feed than most 123 lights.
Runtime Graph Here
-I will second the new dorcy with one caveat: It is a little thicker than most lights so it may not be as comfortable to carry for your daughter but it is cheap and bright and so far has shown to have a good runtime.
Review Here This light can also be had at your local walmart/target: be sure to look into the packaging and find one that has the emitter of the LED centered in the reflector. The brightness/tint of the LED varies greatly so i recommend buying two and taking the one that is dimmer back.
-I think this may possibly be the best recommendation I can give. Buy a mini-maglite (AA model) and replace the bulb
with one of these. The mini-maglite is skinny and can be had in some decent anodized colors, even a few daughter friendly ones.
P.S. Be sure to check out flashlightreviews.com for a good overlay on surefire lights as compared to some of the newer LED models.