Cook the lasagna noodles according to package directions, except omit oil. Drain. Rinse with cold water; drain again. Set aside.
Meanwhile, cook the spinach according to package directions; drain well. Set spinach aside.
For sauce, in a medium saucepan combine the milk, onion, and cornstarch. Cook and stir until thickened and bubbly. Cook and stir for 2 minutes more.
Spread 2 tablespoons of the sauce evenly on the bottom of a 2-quart rectangular baking dish. Stir ham and Italian seasoning into remaining sauce.
Arrange 3 lasagna noodles in the dish. Spread with one-third of the remaining sauce. Layer the spinach on top. Layer another one-third of the sauce, the cottage cheese, and half of the mozzarella cheese over the spinach. Place remaining noodles on top. Top with remaining sauce and mozzarella.
Bake in a 375 degree F oven for 30 to 35 minutes or until heated through. Let stand 10 minutes before serving. Makes 6 servings.