Actually the average 16 year old is much more likely to be able to name all the Kardashians than to be able to tell you who the Waltons, Marx and Lenin are/were. Not that this by itself will get them into college. However for the AVERAGE student Oberlin is just as impossible a reach as any HYP. Lots of other suggestions made without knowing her stats.
Besides, look at post 14 which is the first to bring up the idea of a HYP with regard to that person’s S. Of the HYP, IF and only IF OP has a candidate for one of those, Harvard would be the place she should investigate.