See the link below, and scroll down to the stories about "Jack of the lantern".
cuz when jack lost his face he made a design of his face and so he could see he but a lantern so yeah
Turnips
The first Jack of the Lanterns were probably carved into a turnip or potato. The turnip eventually became the Jack o' Lantern vegetable, that is, until those people (from Ireland) started moving to America. They could not find many turnips, so they started carving pumpkins, instead.
Turnips.
Cucumber
No, there is not any type of Halloween jackolantern stencils since all jackolantern stencils do require candles. Candles help to light up the hard work put into creating a jackolantern.
pumpkins
"Turnips" and sometimes potatoes.
Pumpkins
squash or gourds
Well, pumpkins are always fruits, but on Halloween they're lanterns.
It is believed that the Chinese first invented lanterns.So it is called Chinese lantern.