In a saucepan, bring the cream to a soft boil, simmer for 5 minutes. Add salt, pepper, nutmeg and mix well. Set aside.
Rub garlic in the base of the cocotte (keep remaining garlic for the bread). Pour the hot cream in the cocotte, and break the eggs one by one into the cream. Place a sprig of thyme, add black pepper and cook uncovered in a preheated oven for approximately 8 minutes. The eggs should not be overcooked and slightly runny.
Rub toasted baguette bread with the remaining garlic clove. Serve with eggs immediately.
Mimi Thorisson is the author of Manger, a blog devoted to French cooking, and the host of La Table de Mimi on Canal+ in France. After a career in television and having lived in Hong-Kong, Singapore, London, Reykjavik, and Paris, she settled with her photographer husband, five young children, two older stepchildren, and the family's fourteen dogs in a rural farmhouse in Médoc.