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1
Simmer all of the ingredients under Step 1 (except the lobsters!) in a large enameled or stainless steel pot for 15 minutes.
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2
Bring to a rolling boil and then add the live lobsters.
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3
You can tell when they are done because they are bright red and the long head-feelers can be pulled out pretty easily.
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4
While the lobsters are steaming, stew the mushrooms over low to medium low heat in a covered saucepan with all of the other ingredients from Step 2 for 10 minutes.
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5
When the lobsters are cooked, remove them from the kettle.
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6
Pour the mushroom juices in the kettle (not the mushrooms!) lobster-juices pot and boil down rapidly until it is reduced to about 2 1/4 cups liquid.
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7
Strain the liquid into a large saucepan and bring to a simmer.
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8
Cook the first 2 ingredients from Step 3 slowly together in another saucepan.
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9
Be sure not to brown it!
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10
Remove from heat, and beat in the lobster-mushroom liquid.
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11
Boil, stirring constantly, for 1 minute.
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12
Drizzle the cream from step 3 on top of the sauce.
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13
Split the lobsters in half, lengthwise, making sure to keep the shell halves intact.
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14
Discard 'sand sacks' in the heads and intestines.
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15
Rub 'lobster coral' and 'green matter' through a fine sieve into a 3 quart mixing bowl, and blend it into the ingredients from step 4.
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16
Beat the lobster-mushroom sauce into this mixture in small spats.
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17
Return the sauce to the pan, and, stirring with a wooden spoon, bring it to a boil.
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18
Boil slowly for 2 minutes.
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19
Thin out with step 5.
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20
By now the sauce should be thick enough to coat a spoon pretty heavily.
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21
Set aside, top filmed with a spoonful of cream.
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22
Remove the meat from the lobster tails and claws, cut into 3/8 inch cubes.
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23
Set the skillet with the butter from step 6 over medium heat.
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24
When butter foam begins to dissipate, stir in the lobster meat and saute, stirring slowly, for 5 minutes, until the meat has turned a rosy color.
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25
Pour the cognac in and boil for a minute or two, shaking the skillet, until the liquid has been reduced by half.
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26
Preheat oven to 425u00b0F.
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27
Fold cooked mushrooms and 2/3 of the sauce into the skillet with the lobster meat.
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28
Arrange the split lobster shells on a shallow roasting pan or fireproof serving platter.
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29
Heap the lobster mixture into the shells, and cover with the remaining sauce.
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30
Sprinkle with cheese and dot with butter (you can refrigerate it at this point to finish up later on).
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31
Place in upper 1/3 of the oven for 10-15 minutes, until lobster is bubbling and sauce is a nice brown.
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32
Serve immediately!