Preheat the oven to 375°F. Place chicken on a large lightly oiled baking pan and drizzle chicken thighs with 1½ teaspoons olive oil. Mix marjoram, thyme, salt, and pepper in a small bowl and sprinkle half of seasoning mixture evenly over the chicken.
In a large bowl, combine artichoke hearts, tomatoes, onion, wine, garlic, the juice of 1 lemon, remaining oil, and remaining seasoning mixture. Arrange mixture around chicken. Top chicken with shredded cheese and top cheese with lemon slices. Roast chicken for about 35-40 minutes, until thermometer registers about 160°F in the thickest part of a thigh. Garnish with sliced green onions. Serve over cooked rice or pasta, depending on preference.