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1
Preheat the oven to 400F.
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2
Line a baking sheet with aluminum foil and brush the foil lightly with oil.
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3
Arrange the onion slices in a single layer on the baking sheet and brush with oil.
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4
Roast, turning the slices and moving them to different places on the pan, until the onions are deep brown on both sides, about 25 minutes.
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5
Remove the onions as they reach doneness.
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6
Cool to room temperature.
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7
Brush the foil with a little more of the oil.
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8
Arrange the tomatoes, cut side down, on half of the pan and the shiitake mushroom caps, gill side down, on the other side of the pan.
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9
Brush the tomatoes and mushrooms with oil.
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10
Roast until the tomatoes are very soft and the skins are shriveled and the mushrooms are wrinkled but firm, 15 minutes.
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11
Remove from the oven and cool to room temperature.
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12
Meanwhile, place the dried porcini in a small bowl and pour the boiling water over them.
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13
Let stand until the mushrooms are softened, about 15 minutes.
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14
Drain the mushrooms, straining the soaking liquid through a coffee filter or a sieve lined with a double thickness of cheesecloth.
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15
Set the soaking liquid aside.
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16
Rinse the porcini thoroughly and drain well.
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17
Put them in a bowl.
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18
Lift the shiitakes off the baking sheet and add them to the porcini.
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19
Scrape the tomatoes and any juices on the baking sheet into a food processor.
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20
Add the roasted onions.
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21
Process, stopping once or twice to scrape down the sides of the workbowl, until the vegetables are finely chopped.
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22
Add the crushed tomatoes, jalapeno, vinegar, sugar, mustard, salt, soy sauce, worcestershire, and pepper.
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23
Process until smooth.
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24
Transfer the mixture to a 3- to 4-quart heavy saucepan.
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25
Stir in the mushroom soaking liquid.
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26
Place the shiitakes and porcini in the food processor and process until very finely chopped, scraping the sides of the workbowl if necessary, to chop them evenly.
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27
Add to the tomato mixture.
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28
Heat the mixture to a boil over medium-high heat.
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29
Reduce the heat to a bare simmer1 or 2 bubbles rising to the surface at a time.
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30
Simmer, stirring often, until the mixture is thick enough to mound high on a spoon, about 1 hour.
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31
Carefully watch the ketchup and dont let it stick to the pot as it thickens.
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32
Cool to room temperature.
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33
Check the seasoning.
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34
(The ketchup can be stored in a tightly covered contained in the refrigerator for up to 3 weeks.)