1. Preheat oven to 400 degrees Fahrenheit (200 degrees Celsius).
2. Clean mushrooms. Trim and discard tough stems and slice mushrooms thinly.
3. On a Gefen Parchment-lined baking sheet, toss the mushrooms with three tablespoons olive oil, 1/4 teaspoon dried thyme, 1/2 teaspoon sea salt, and 1/4 teaspoon pepper.
4. In a small pan, toss together the shallots, two teaspoons olive oil, an 1/8 teaspoon sea salt, and a pinch of pepper.
5. Place both pans in the oven. Roast the mushrooms for 15 to 18 minutes, until golden and tender, stirring once halfway, and the shallots for 25 to 30 minutes, until soft and lightly browned, stirring once halfway. Remove from oven.
6. Trim and discard the ends of two of the shallots and place them in a food processor. Cover the remaining two and set aside.
7. Add five tablespoons olive oil, an 1/8 teaspoon thyme, vinegar, lemon juice, sugar, heaping 1/4 teaspoon salt, and a pinch of pepper to the food processor. Pulse until you have a smooth dressing. Adjust salt and pepper as necessary.
8. Thinly slice the remaining two shallots.
9. In a large frying pan, sprinkle baby spinach with a pinch of salt and pepper. Add one tablespoon olive oil. Raise heat and sauté leaves about three minutes until wilted. Remove from heat.
10. Add the roasted mushrooms and shallots to the spinach (if desired, reserve some roasted mushrooms and shallots at this point).
11. Drizzle with 2/3 of the dressing and toss well.