Cut each slice of bread into 2 triangles and toast lightly. Rub with the halved clove of garlic while warm.
Preheat the oven to 350 degrees F.
Cook the bacon in a large skillet over medium heat until browned and crisp. Drain on paper towels. Crumble when cooled and set aside. Pour off all but 1 tablespoon of the bacon fat from the skillet and add the minced garlic and the shallots. Cook over low heat, stirring often, until softened, 2 to 3 minutes. Pour in the wine and increase the heat to high. Bring to a boil and cook, stirring to scrape the browned bits from the bottom of the skillet, until reduced to 1/2 cup. Pour in the chicken stock and bring back to a boil.
Use a fork to blend the butter and flour into a smooth paste in a small heatproof bowl. Whisk about 1/4 cup of the boiling liquid into the bowl and blend until smooth. Empty the bowl into the skillet and boil, whisking constantly, until slightly thickened, about 2 minutes. Season with salt and pepper.
Arrange 2 bread triangles in the bottom of 4 individual 1 cup casserole dishes or ramekins. Pour a quarter of the red wine sauce over the bread and carefully break 2 eggs on top. Arrange the dishes on a sheet pan and bake in the middle of the oven until the eggs are just set, 18 to 20 minutes. Sprinkle with fresh herbs and the crumbled bacon. Serve hot.
Recipe courtesy of Sara Moulton, Sara Moulton Cooks at Home, Broadway Books, 2002