In a medium fry pan over medium-low heat, saute the shallots and mushrooms in the olive oil for about 10-15 min. or until the mushrooms and shallots are soft. Salt and pepper to taste. Remove from heat and allow to cool.
Preheat oven to 375F. In a large bowl combine the eggs, salt, pepper, thyme and milk. Whisk well together. Add the Canadian bacon, cheeses, cooled mushrooms and shallots, and a pinch of nutmeg. Stir to combine. Cut 12, 5x5" squares of parchment paper. Carefully place the parchment paper in a muffin pan, working one at a time and fill the cups with the egg mixture. Repeat until all 12 cups are filled. Bake for 20-25 min. or until golden brown and the eggs are set. Let frittatas cool slightly and then remove from pan.
Nutrition calculation is an estimation only. If you need nutritional calculations for medical reasons, please use a source that you trust.