The connection with Studely High School is undoubtedly a big scam.

The term 'High School' came from The Royal High School, in Edinburgh, Scotland in 1505. Scotland’s education system is different from other parts of the UK.

Usage of the term in England and Wales varies. “In some cases, the phrase is used specifically for girls' schools (e.g. Bedford High School, Truro High School for Girls). In certain areas, such as Liverpool (e.g. Alsop High School), Manchester, Cardiff, and Herefordshire, secondary schools are generally called high schools.” The use of the term seems dependent on the way education is organised in each locality. In areas where there is a two-tier schooling system – primary and secondary, the term may not be in use except in the case of public schools, (misnomer as they are generally private fee-paying schools).

Some parts of the country have a three-tier schooling system that include a Middle School and the term 'High School' is used unofficially. “In Northumberland and some areas in Suffolk, Somerset, Staffordshire and Worcestershire there also exists a three-tier education system comprising of First, Middle and High school.” The Isle of Wight uses the term High School to distinguish them from secondary schools that have a different age range.

Adapted from Wikipedia.