In skillet over medium-low heat melt butter with the oil. Add shallot (or other onion) and cooking until soft (about 5 min). Raise heat to medium and add mushroom, salt and pepper. Cook covered 5-6 minutes (mushrooms will release all their liquid). Uncover skillet and raise heat to high. Cook uncovered until all the liquid evaporates 3-5 minutes. Add fresh thyme and wine (or water) and cook until skillet is almost dry (1-2 minutes). Note: If using dried thyme add the thyme to the butter and oil in step 1.