Fill a medium bowl with cold water and some ice. Set aside.
In a medium pot, bring water to a boil and gently lower 6 eggs in. Boil for 7 minutes for set whites and a runny yolk. Remove the eggs from the hot water and place in the ice bath. Allow to cool for a few minutes.
Peel the eggs. Gently crack the bottom of the egg, and peel gently under slow running water. This will help them peel easily. Set aside while you prepare the broth.
Heat your pot over medium heat and add butter to melt. Once melted, add your garlic. Saute until fragrant, about 2 minutes.
Add in all of the remaining seasoning, stir to combine, and cook for another minute. Next, pour in your broth. Increase to medium high, bring to a boil, and lower heat. Allow to simmer until slightly thickened, about 8 - 10 minutes.
Taste and adjust for seasoning. Old Bay and lemon pepper seasonings usually contain salt, so only add salt if necessary.
Place your eggs in a bowl and pour the sauce over. Gently turn them over to coat. Garnish with parsley. Enjoy with rice or crusty bread.