Here's some clarification for you. For waves I braid my hair wet, sleep on it and take it down. For curls I wrap them up in soft rollers wet, sleep on them, and take them down. Most gals have some wave, there are very few that actually have natural curl. Here's pics showing my waves vs. curls:
My hair in it's usual state:
With waves:
With curls (just the ends):
Hope that helped!