It seems like old reputations are hard to shake. Do your research so you can make well informed decisions.
I am not a Realtor but I am a resident of Harrison with 2 children in elementary school. It could be that there is more of an emphasis on sports than on academics? Here are some links that might be of interest to you.
Realtors by law are not allowed to answer this question but the general public can. It depends on what is important to you. For everbody it is different.
Keller Williams Realty Group
http://www.greatschools.org is a terrific place to start.
Anna has provided you with some great links and Petra & Joseph have given you and excellent personal perspective. Like Mary suggest, I always set up a tour of the school(s) that my buyers have indicated are important to them.
As two students are never equal in needs, personality and desires - neither are schools. What works perfect for my children may not be perfect for yours. Therefore I second Mary's suggestion and you speak to a counselor at the school and arrange for a tour. This tour should include a Q&A session based on your child's needs and wants.
And when you are ready to begin your home search, you have three great local agents here to interview for the job.
I always recommend that prospective buyers visit schools to assess the fit for their family.
As a Realtor I am not judging any schools and I think when you check school records you will find out that neighboring schools are very similar to Harrison High School!
As a parent in Harrison I can say from what I see from my daughters friends it is a very good school. Much improved over the past years. Great Principal and teachers. We found it very good that they have an international accreditation.