2Place olive oil and butter in a heavy ovenproof skillet or well seasoned cast-iron skillet. Heat over medium heat until butter melts. Add green onions, bell pepper and garlic; sauté about 3 minutes. Add potatoes. Cover and cook until potatoes are fork tender, 10 to 12 minutes.
3Whisk together eggs, cream, thyme, oregano, salt and pepper. When potatoes are tender, pour , egg mixture evenly over the top of the potatoes. Jiggle the pan slightly to make sure eggs run down between the potatoes.
4Sprinkle cheese evenly over top of eggs. Place pan in oven and bake 8 to 10 minutes, until eggs are soft set and cheese is melted. Remove from oven. Let stand about 3 minutes. Cut into wedges