I run an HIS 4670 in my rig and it games well enough. I play Oblivion and Dragon Age at medium to high settings on my Vizio 37" at 1920 x 1080. Your daughter will be happy. It's defintely not a top performer, but it's not shabby either. Of course mine is overclocked thru catayst control, and it's been that way for at least six months now with no hiccups whatsoever. I can honestly say its a great card(and priced right) for the casual gamer.
Gigabyte 880GA-ud3h / 3.1 Phenom II x2 550 BE Callisto(4 cores and OC to 3.4) / Corsair Vengence 2x4gb DDR3 1600 / 640gb WD Black 2ea./HIS 6870/ 650 EarthWatts / Win 7 64bit