Combine the parsley, green onions, lemon juice, Tabasco sauce, butter, Worcestershire sauce, 2 cups cracker crumbs, salt and pepper in a bowl to make a crumb mixture.
Alternate layers of oysters and crumb mixture in a greased shallow 2-quart baking dish.
Pour a mixture of the half-and-half and milk over the top. Sprinkle with paprika. Bake at 375 degrees for 30 minutes.