Not So Traditional Corned Beef Hash with Poached Eggs

Name: Not So Traditional Corned Beef Hash with Poached Eggs
Ingredients: 1 pound russet potatoes, peeled, 1/2-inch dice; 2 tablespoons butter; 1 large onion, peeled, 1/2-inch dice, (about 1 cup); 1 tablespoon chopped garlic; 1 tablespoon ancho chili paste; 1 pound cooked corned beef, 1/2-inch dice; 2 tablespoons chopped fresh cilantro leaves; Salt and pepper; 1 quart water with 2 tablespoons white vinegar for poaching; 12 quail eggs