"You can make the ham broth and shred the ham hocks a day ahead. The next day, reheat to simmering, and cook the potatoes and green beans...."
INGREDIENTS
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2 meaty ham hocks
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1 onion, peeled and quartered through root
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3 garlic cloves, smashed
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1 celery stalk, cut into 2-inch pieces
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3 sprigs fresh thyme
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1 bay leaf
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1 jalapeno or serrano chile, intact with a split down 1 side
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Coarse salt and freshly ground pepper
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3 1/2 quarts water
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1 pound small red potatoes, halved
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2 pounds green beans, stem ends trimmed, halved crosswise