The Lady Bug can lay 1,000 eggs at one time The Dragon Fly lays her eggs in the water. The Australian Walking Stick lays eggs and lets them drop to the ground. The Grasshopper digs a hole in the ground, lays her eggs, and places a sticky substance on them to harden and keep the water out. She lays 2-120 eggs at one time. The Mosquito lays her eggs on the surface of water. The Roly Poly lays its eggs under a leaf in what is called a gall.