Melt butter in a small saucepan over medium low heat. Add the minced garlic and cook until just fragrant and starting to brown. Remove from heat and set aside to cool.
Toast the English muffins.
To poach the eggs: Bring a small saucepan of water to a simmer. When the water is just starting to bubble, reduce heat to lowest possible setting. Crack an egg into a bowl. Use a slotted spoon to swirl the water. Drop an egg into the center of the swirl. Repeat with an additional egg. I only like to do 2 eggs at a time. Cover the pot and set a timer for 2 minutes. When done, remove eggs to a paper towel lined plate and season with salt and pepper. Repeat with remaining eggs.