JKR baseou sua descrição da Smeltings Academy em uma escola de verdade?

Recebemos muito pouca informação sobre a Smeltings Academy - a escola onde Dudley está:

Dudley had been accepted at Uncle Vernon's old private school, Smeltings.

...

That evening, Dudley paraded around the living room for the family in his brand-new uniform. Smeltings' boys wore maroon tailcoats, orange knickerbockers, and flat straw hats called boaters. They also carried knobbly sticks, used for hitting each other while the teachers weren't looking. This was supposed to be good training for later life.

Existe um equivalente real desta escola que a JKR usou como modelo? A coisa com o bastão parece realmente distinta.