One stove for two floors?

Hi all, Are there any examples of one stove being used to heat two floors? I'm planning a house build and considering my options. A thought would be to have a small bench mass on the first floor and then a vertical cobbed column through the center of the house to the second floor. The planned house will be no more than 1000 sq ft. Winter temperatures here are mild and drop to 20 at the lowest
Thanks in advance for your reply

Heat rises. That is how most old farmhouses in the midwest were heated. They had "gravity grates" in the second story floor to let the heat rise easier. And a brick chimney up the middle of the house.

How big is the house?

You can't dump all the heat into the bench and have any left for upstairs. Have you looked at heat bells? You could mount the second and third bell on the second floor and get more heat there.

There are fire code implications in how you do this. Once you go through a floor/ceiling, you need to be insulated with fire stops and chases--makes it all but impossible to capture heat legally if you have a mortgage or restrictive zoning. If you have a loft and vaulted ceiling, however, you can put the bell out in the vault 6 inches away from the edge of the loft and be legal.