Big differences in engineering education between Dartmouth and Cornell.
Dartmouth:
Engineering at Dartmouth - Engineering Studies
The Dartmouth degree which is ABET-accredited is in general engineering.
Cornell:
Cornell Engineering : Majors
Cornell offers 13 different specialized engineering majors.
A lot depends on the kind of educational environment your daughter wants or how likely she might be to change her major out of engineering in the future. It's safe to say that Cornell is one of the great engineering powerhouses among American colleges and universities, but Dartmouth may offer her a more personalized experience.
I agree with jmmom's suggestion about getting more information. Also, you might post on the Cornell and Dartmouth forums here, asking for feedback specific to the engineering curriculum at each and research/internship opportunities for undergraduates at each.