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1
Put an oven rack in the center of the oven.
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2
Preheat the oven to 400 degrees F. Line a baking sheet with parchment paper.
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3
Using the tines of a fork, prick the skins of the potatoes all over and arrange on the prepared baking sheet.
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4
Bake for 1 to 1 1/4 hours until tender and cooked through.
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5
Remove from the oven and let cool until warm enough to handle, about 20 minutes.
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6
While the potatoes are cooling, in a medium skillet, heat 3 tablespoons of olive oil over medium-high heat.
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7
Add the onion and cook, stirring frequently, until soft, about 5 minutes.
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8
Add the mushrooms, garlic, 1/4 teaspoon salt and 1/4 teaspoon pepper.
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9
Cook until the mushrooms are golden and most of the liquid has evaporated, about 6 minutes.
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10
Put the mixture into a medium bowl.
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11
Cut the potatoes in half lengthwise and, using a small spoon, scoop out all but 1/4-inch of the flesh.
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12
Add the potato flesh to the mushroom mixture.
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13
Add the butter, oregano, and 1 cup of the cheese.
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14
Mix well.
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15
Season with salt and pepper, to taste.
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16
Arrange the potato halves, cut side up on the baking sheet.
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17
Using a pastry brush, brush both sides of the potatoes with the remaining 3 tablespoons of olive oil and season the inside with salt and pepper, to taste.
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18
Spoon the mushroom mixture into each potato half.
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19
Arrange 1 half-piece of prosciutto on top and sprinkle with the remaining cheese.
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20
Bake until the cheese is melted and the prosciutto is crispy, about 20 to 25 minutes.
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21
Remove from the oven, transfer to a serving platter, garnish with chopped parsley and serve.