Preheat the oven to 400 degrees F.

In a medium bowl, mix hash browns, olive oil, thyme, basil, oregano, and garlic powder. Gently toss to combine.

Cut the ham into 1 inch pieces (if not using diced) and add to the potato mixture. Stir to combine.

Sprinkle with salt and pepper, to taste. Add the melted butter and stir to combine well.

Pour the hash brown mixture into the dishes, divided evenly between the two.

Sprinkle each with the cheddar cheese, divided evenly.

Place into the oven and bake until the edges begin to brown, about 15 minutes.

Remove from the oven and create a well in the center of each dish. I press a large rounded serving spoon into the center to make the well. Be careful, dishes will be very hot.

Add one egg to each well, gently cracking the eggs to keep the yolk intact.

Sprinkle the eggs with Parmesan, divided evenly.

Season each with more salt and pepper, if desired.

Top each with some fresh chopped chives for garnish.

Place the dishes into the oven and bake until the egg whites have set, about 10 - 15 minutes.