For the chicken sausage: If raw, cook in a 400°F oven to an internal temperature of 160°F using a thermometer. If already cooked: Place in a 400 degree oven until warmed through or slice and brown in a nonstick pan on medium heat.
Heat a nonstick pan on medium heat. Once hot, add the oil, garlic, and tomatoes. Saute until the garlic becomes golden brown and the tomatoes start to blister. Add the butter, thyme, and broth. Bring to a simmer and season with salt and pepper.
Crack the eggs into the pan along with the cheese. Cover with a lid and continue to simmer until the whites of the egg are firm and the yolk is still runny, about 4 to 6 minutes.
Serve the eggs over the bread with chicken sausage. Serve with peaches and garnish with parsley.