cool that your daughter are interrested in history
I would recommend "out of many" if she is into american history. do only know the title.
another one would be "the origin of the modern world" by an american historian named Robert. Marks ( not marx LOL ). Its a bit "political", but its written in a loose and funny way. Hes point is to break the eurosentristic historian perception.
If she is into Indian history: INDIA by D.R.Sardesai is wery informativ.
edit: this are books for students in university, but if she is smart it shouldt be a problem.