Polenta with Mushrooms, Poached Eggs and Mixed Green Salad

In medium pot, bring stock and milk to a low, rolling boil and whisk in a single direction while pouring polenta in slowly. Add pepper and a few grates of nutmeg, and bring to a bubble. Reduce heat to a simmer to keep the mix at a delayed bubble, a burp every 2 seconds or so. Cook 45 minutes, whisking every 10 minutes or so. Stir in butter, honey and cheese, and remove from heat; season with salt to taste. Keep warm in a bain marie while you cook the mushrooms and make the salad.
 
To make a Bain Marie, use a pot that is wide enough to fit your polenta pot comfortably inside it, a wide pan a few inches deep will do. Place about 3/4 inch of water in the wider pan. Bring water to a gentle simmer and keep simmering over medium-low flame, adding more water if necessary until ready to serve.

 
For the mushrooms, heat olive oil in a large skillet over medium-high heat. Melt butter into oil, add mushrooms and brown. Add thyme, salt, pepper, shallots and garlic, and stir 2-3 minutes more. Add sherry or Marsala and reduce until almost evaporated. 
 
For the eggs, heat 3 inches or so of water in a deep skillet with the vinegar and bring to low, rolling simmer. Crack each egg into a ramekin then slide gently into water. Cover pan and cook 4 minutes. Remove with a slotted spoon.
 
For the salad, combine greens and dress with juice of 1 lemon and  EVOO, season with salt and pepper to taste.
 
To serve, place a pile of polenta on one side of a plate and nest the poached egg in the polenta. Scatter mushrooms to one side and a small pile of greens on the opposite side of the plate.