Running can get her in.
If she is serious about applying, she should take SAT's in January and subject tests in May. Ivy coaches will want this info. She can repeat the tests in June if she isn't happy with the results. For a highly sought recruit, at least one score over 700 is a good thing, with the others mid 600's or higher. The less sought after will need higher.
There is actually a separate admissions process at several of the schools for top recruits where admissions will review the application in the early fall and can give a decision by mid October.
Others have spelled out financial aid at Ivys. It is best to apply to several, especially Harvard, as it has the largest endowment and best aid. Other Ivys will match their offer. She should do this even if she prefers one of the other Ivys.
Another reason to consider financial aid vs scholarship: if she changes her mind at some point about college running, and many do, it is nice to not be running on scholarship. The Ivy schools are overflowing with activities and a D1 athlete is not going to be able to participate in any of them except her sport. It is far easier to quit the team at an Ivy than at a scholarship school, where you are essentially bound by contract to run if you want to stay in school. This is important and you should give it a lot of thought. A young person only gets one shot at college - committing as a junior to run 4 years in college is a very big decision, especially if you are doing it for your parent and not yourself.