Pumpkin vs. Jack-O-Lantern

A few weeks back, Gramma Susie and Jacinda were cutting up orange construction paper into the shape of pumpkins.
Jacinda informed us that if a pumpkin doesn't have a face then it's called a pumpkin. If it does have a face, it's called a Jack-o-lantern.

I guess these two qualify as Jack-o-lanterns.

Or should I say Jacind-o-lantern.

and Gramma Soos-o-lantern.

But to see a real treat, or trick, depending on which side of the camera you're on, go the THE FARM. Is this what they mean when they say if you're not home by midnight, you'll turn into a pumpkin?

Directions to here:
So Jacinda, what category does this fall into?