Did JKR baserar sin beskrivning av Smeltings Academy på en riktig skola?

Vi får mycket lite information om Smeltings Academy - skolan där Dudley går:

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.

Finns det en verklig ekvivalent av denna skola som JKR används som modell? Saken med pinnen verkar verkligen särskiljande.