"Hogwarts" is just the name JK Rowing came up with for her version of a reasonably popular trope. magic school

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https://tvtropes.org/pmwiki/pmwiki.php/Main/WizardingSchool

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Happy Days Era "witch school"

https://en.wikipedia.org/wiki/Sabrina_the_Teenage_Witch

Sabrina the Teenage Witch is a comic book series published by Archie Comics about the adventures of a fictional American teenager named Sabrina Spellman. Sabrina was created by writer George Gladir and artist Dan DeCarlo, and first appeared in Archie's Madhouse #22 (cover-dated Oct. 1962). Storylines of the character at elementary-school-age also appear under the title "Sabrina -- That Cute Little Witch" in almost all of the Little Archie comics.

this is the pre-internet Harry Potter.

https://en.wikipedia.org/wiki/The_Worst_Witch

The Worst Witch
The Worst Witch was first published in 1974 by Allison & Busby, and proved to be an immediate success, selling out within two months.[9][10]
Plot
The novel begins with Mildred Hubble and the upcoming traditional assembly where all of the first-years are given their own black cats that they will teach to ride on their broomsticks with them. Unlike the other girls, who receive black kittens, Mildred receives a tabby cat, which she simply calls Tabby. The kitten is unable to sit on a broomstick, so Mildred carries Tabby in her bag. Miss Hardbroom disapproves and Mildred has to stop. Afterwards, another witch called Ethel Hallow teases Mildred about it, and dares her to turn her into a frog. Mildred loses her temper and turns Ethel into a pig instead.