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Soak the red peas in three cups water overnight.
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Tie the thyme and bayleaf with kitchen twine to form a bundle (bouquet garni).
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The next day bring water with peas and bouquet garni to a boil (do not drain) and boil for about 15 minutes. Reduce heat to medium and gently simmer adding in water by the 1/4 cup as needed to keep the peas covered with water. Cook until peas are tender but still hold their shape, about 20-25 minutes. Remove from heat and add the salt.
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Heat 1/8 cup oil in medium pot over medium heat and add the garlic, crushed pepper, celery, onion, and jalapeno pepper; cook until vegetables are tender, about 15 minutes. Add the peas with their liquid; bring to a simmer. Cook until flavors meld and sauce has thickened. This should take about 10-15 minutes. Remove from heat; stir in butter. Set aside.
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Remove about 1/3-1/2 cup cooked peas and mash with potato masher or fork and then return to pot.