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1
Bring 2 quarts of water to a boil in a 6- to 8-quart wide heavy pot.
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2
Add cabbage and simmer, covered, until tender, about 10 minutes.
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3
Transfer cabbage with tongs to a colander reserving cooking liquid, then add half of mustard, turnip, and beet greens to cooking liquid.
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4
Simmer uncovered, 5 minutes.
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5
Transfer greens with tongs to colander with cabbage, then cook remaining greens in same manner and transfer to colander.
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6
When greens are cool enough to handle, finely chop.
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7
Add ham hocks to cooking liquid (liquid will not cover them completely) and simmer, covered, 1 hour.
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8
Transfer with tongs to a cutting board to cool.
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9
Transfer ham broth to a bowl, adding water if necessary to measure 5 cups liquid.
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10
Discard skin, bones, and fat and finely chop ham.
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11
Cook onions and garlic in butter in pot over moderate heat, stirring frequently, until golden, about 5 minutes.
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12
Add flour and cook, stirring, 3 minutes.
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13
Add ham broth in a slow stream, stirring constantly.
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14
Add chopped greens, ham, thyme, and minced chile and simmer, uncovered, until greens are tender, about 8 minutes.
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15
Gradually add spinach, stirring until wilted.
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16
Stir in parsley, vinegar, and salt.
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17
Serve with hot sauce and additional vinegar if desired.