Harry the Hillbilly.
Grannie Moses had looked into 8-year-old Petunia's eyes and smiled. "You've chose your own way, ain't you?"
Petunia had blushed and found herself unable to answer.
"There is no shame in that, child," the old woman laughed softly. "Yer own Ma was supposed to take my place as the family's Witchwoman until she met your pa and chose the path she walks now. But you listen to me, Petunia Evans, the only way you will ever know the peace of the normal life you want is to master your magics."
"It won't just go away if I don't use it?" Petunia asked.
"Lands, no child," the old woman smiled. "Magic is a living thing, and if left untrained it can be vicious, like an animal gone wild. If you want to live without it, you'll need to learn to keep it on a tight leash; else'n it will roam as it will."
"Will I need to stay here to learn to control my magic?" Petunia asked in a quiet voice. "I don't want to leave my school and my friends."
"Yer Ma can learn you the ways of controllin' your magic as easy as me," the old woman admitted. "But know this, Petunia Evans, you and your sister are Moses women, just like yer Ma, an' me. That mean's you've got more power than most witchers can shake their wands at. Not that you'll need a wand, but you could use one if you wanted."
"I don't," Petunia said in a tone of finality. "I don't want magic. I'll learn to control it so I don't have it."
"You're livin' in England," Granny Moses noted. "Your control will need to be nigh on perfect to avoid the attention of the Witchers over there. Their school will be lookin' to find you next year when you're turning nine. They'll be callin' you a Muggleborn if they find you. If you are found, they'll want you to attend their school."
"I won't," Petunia said rebelliously.
"Then, they'll try to bind your magics and blank them from your memories and the memories of your family," Granny said. "And your Ma will fight them. That will ruin their day, and your chances of livin' the life you want, at least in England."
"But what about Lils, Granny?"
Granny Moses looked across the yard to where four-year-old Lily Evans was playing with Jed's hound dog pup. "Your Ma has sisters, you know," the old woman sighed. "But unlike your Ma, my Rose Ellen didn't have as much as a sniff of the family's magic, her daughter Elly on has it in spades, but she is focused on her critters. That girl will never be a Witchwoman."
"What about Jethrine and her twin?" Petunia asked.
"Pearl and her kin are from Jed's side of the family. Good folks, the Clampets, hardworking, honest, and devoted to their kin, but they ain't Moses folk," Granny explained patiently. "Even if they was, the Moses Magics 'most never takes a like'n to the family's menfolk, so no, the twins don't have the magic. Now, you and your sister though, you both have the Moses magics singin' in you as strong as they do in your Ma and me. Lily will need to make her own choices when the time comes. If she chooses the magic, then maybe she will be takin' my place as the family's Witchwoman, maybe she'll be goin' to the English Witcher's school. Until her time comes, no one can know."
Petunia nodded. "I'll learn, Granny, I promise."
Granny patted the young girl on her hand. "I know you will, darlin'. I can see it in your eyes. You will be as powerful as yer Ma and me. You'll have to be to not use your magic."
A/N: This one came from my 1960s TV show crossover series. Yeah, the Evans girls and their mother are of the Moses clan of Arkansas. Granny Moses ended up living with her widowed Son In Law, after putting down the latest of the North American Dark Anarchists… And moving to Beverly… Hills that is, after Jed hits oil on the family land.
Petunia doesn't want to be a witch, so to not be she need iron control of her powers. Then Lily dies destroying Voldemort and Harry is presented to Petunia and Vernon. Vernon starts to raise a fuss, but Pet explains the concept of 'kin' to him using small words and lots of 'special effects', so he shuts up.
When Harry is about 2 and a half, Lucius and a few dozen of his fellow travelers find out where Harry is, and attack, leaving Petunia to unleash her magic for the first time and reduces the attackers to a thin paste that fertilized the lawn of #4 quite effectively.
Knowing that they were only the first, and that she couldn't keep an eye on her boys 24/7 she reaches out to Granny, who is at first unconvinced of the boy's magic (because it doesn't typically follow male lines in the Moses clan), and then shocked at the power she finds in the boy.
So, Harry grows up around cement ponds and the Clampet family. He wrassles with Jethro and Ellie Mae (winning against Jethro and losing again Ellie) and learns the Witcher way from Granny. He doesn't share Jethro's endless search for a job, nor Ellie's fascination with critters, he likes learnin' and magic and isn't terribly interested in going to Scotland for school.
It sort of petered out because it was turning out to be just a retread of the Munster story. Still, it's not a bad start.