Most likely, this student would have lived and studied in New England. New England, and primarily Boston, was home to the oldest public schools in the U.S. Even in the 18th century, a few grammar schools were founded and followed by prep schools in the 19th century, as well as the famous Ivy-League universities. On the other hand, the South didn't employ organized, wide-scale effort to establish schooling. The existing schools admitted only white children, or segregated blacks from whites - therefore, they didn't only have social criteria (e.g. only middle-class students can afford them), but racial ones too.