Getting into a good school is like trying to get a dream job.
Just because your dream job is working at Apple and you've done everything humanly possible to get a job there (went to MIT for computer science, multiple publications and authored programs on the App Store) you still might not get the job.
What she should focus on is getting into a good school period and being happy with getting the best admission she could get for her statistics and scores. Thousands upon thousands of students apply to those schools and get rejected, why does your daughter deserve to get in over them?
The answer: she doesn't. And that's the harsh reality you have to accept as a parent. I'm not saying your daughter isn't fantastic, she sounds like she is and I'm sure she is a gem.
But your duty as her parent in this situation is to make sure she gets somewhere good enough.
My friend maxed his SAT, had a 4.93 in a competitive school. He was the #1 student in our high school. He got rejected by Harvard and Yale, got accepted to Cornell, UCLA, got rejected for Berkeley and even by Carnegie Melon. I was very surprised by his admissions. On the flip side, another friend of ours submitted a music video he made where he highlighted the type of person he was. It was basically a video blog showing the things he dealt with on a daily basis, his mother having dementia, his father being an alcoholic. It was highly dramatized. On the flip side, his GPA was around a 2.7 and his SAT was around a 1600-1700 TOTAL. He got accepted to Cal and Princeton. WHAT?! And no he wasn't a "minority".
I got into UC San Diego but I considered it a guaranteed admission based on the department's "okay" to me and the admissions department basically saying I shouldn't worry.
What you should do:
Take the top 30 schools in the country and apply to as many of them as you can afford to from top to bottom. Apply to: All the Ivy League schools, Stanford, UCLA, UCB, Notre Dame, Cal Tech, Georgia Tech, Washington University in St. Louis. All the colleges that have high rank and a very upscale college experience. She might not get into Harvard or Yale, but if she gets into Cornell or Cal Tech or Berkeley, that's NOTHING to be ashamed of.
And yes, her personal statement needs to be stellar. It needs to paint a picture of what makes her a special person. Maybe about a personal failure she experienced and how she turned it around. What she learned from that failure and how she conquers challenges today.
Also, you mentioned graduate school. Your undergraduate degree doesn't mean much if you are already planning on going to graduate school. What matters is your undergraduate GPA, having research experience and to an extent, your GRE score. Getting into a good graduate school is a lot more systematic. It's almost ridiculous how much better it is to know your chances of graduate school versus undergraduate. You can practically predict your admissions for graduate school based on your stats. As long as she's in a top 30-40 school in the country, maintains above a 3.5 GPA in college with no or few W's and gets some research experience, she will get into a very good program for her Ph.D.