Hi bigdaddypdx,
Great question!
So there aren't different 'user profiles' as such, as that's not how the App works. It really depends on how you want to play:
If you play in Career Mode, each level can only have one current save before progressing to the next level. If you try to play a level that already has a save on it, the game will ask you if you want to overwrite what you already have.
Alternatively, in Sandbox Mode, you can have up to 3 saves at once - and can change the names etc to make them more personal, so you and your daughter could create your own parks!
-Vulcan