Let's assume you use the step of a stair for your elevated calf raises. You stand on the step, mostly with your toes, balls of your feet in the air.
Then you perform a calf raise, and when you lower yourself down, lower your balls as much as you can without losing your balance. Then you raise your calf again, and so on. Look here for how it's done. I think there should be a video, I can't check because of browser settings, but I'm pretty sure there is one.
You're absolutely right, I meant the heels. English side of my brain switched off randomly last night, apologies. Everything else would be quite a neat feat of aerobics and grip strength of your toes.
So, yes, toes and balls on the surface, heels in the air.