The short answer is yes. A little terminology clarification, however. Annealing brings the steel back to full-dead-soft and won't have any appreciable spring characteristics. Tempering back sufficiently from full hard, however, will produce a fine spring. Having never intentionally made a spring, I'm not in a position to recommend a specific temper. Maybe those more experienced can chime in.
By the way, you're a resident of the dog kennel. Maybe you could stop by our fine hosts of this forum and pick their brains. They're basically on the SW corner of 169 and 14.
-Kurt