I'm not sure how old this thread is or if anyone has already giving this idea. But with all these new products coming out with a lower case i in front of it, I think we should go ahead and claim "iDraw".
And for all you weird people it can have a doodle of a man with two pencils rammed in his ears
Muhaha. Just kidding, you're not weird, I think it would be pretty cool. Lol.