Instructions

1. Preheat the oven to 350 degrees F (175 degrees C). Grease 2 (5 ounce) ramekins (or 2 wells of a standard muffin tin) with melted butter.

2. Line each ramekin with two slices of ham, being sure to get the edges even around the top. 

3. Crack 1 egg into a small bowl; gently transfer to a ham-lined ramekin; repeat with the second egg. Season each egg with salt and cayenne, to taste.

4. Bake in the preheated oven until the whites are just barely set, and the yolks are still soft and a little runny, 20 to 25 minutes. The eggs will continue to cook and set more firmly once removed from the oven if left in the hot ramekins.

5. When eggs have 10 minutes cook time remaining, make lemon butter sauce. Add lemon juice, water, and salt to a small pan. Bring to a simmer over medium heat, and simmer until liquid has reduced by about half, 1 to 2 minutes.

6. Reduce heat to lowest setting and add butter slices. Start swirling and shaking the pan until butter is almost fully emulsified, then turn off the heat. Continue swirling pan until butter is entirely melted. Taste; add cayenne or hot sauce if using. Keep pan in a warm spot until needed. Sauce will thicken slightly as it cools

7. Toast and butter English muffins, transfer baked ham and eggs onto muffin halves, and spoon warm sauce over. Sprinkle with chives and serve immediately.