You can't go wrong with the Mora! I got hooked on them when I was about six or seven, and my grand father had one he carried hunting. It had the plain wood handle and the cheap dual guard, but man would it take and hold an edge. I have a couple of the red handled ones, and a couple of the military style ones, and one is a fishing style about five inch blade withe serrations on the back of the blade. I get them from Sportsmansguide, two for around $22.00. I am in the club, so I get a little discount. Still not much more than eleven dollars each for two fantastic knives, is not bad. The local wood carving show here every year, usually has the red wood handled ones for around $12 dollars. You can remove the wood handle and guard, and replace it with your own, or just scrape off the the red paint, and sand and stain it. Lots of options for it, and you can make a different sheath for it. It is a tough, and Sharp little knife, that takes an awful lot of abuse and keeps on performing the tasks you give it. For the money, you simply can not beat it. If you lose it, eleven or twelve dollars later, and you have another one, and you haven't lost a two hundred dollar or more, custom forged blade.
You made an excellent choice for your daughter, it is light, and a handy blade size, and can be sharpened easily, and holds an edge well. Just be sure to teach her all the safety features of using a knife. Unfortunately Cold steel is made in taiwan now. Buck is still a good blade, but for the money, you made the best choice in my most humble opinion.
Tell her Happy Birthday for me.