I saw one of these in my uncles garage (picture edited )
Looks like a shoemakers last to me
That is what it is. My uncle has one which my granddad used many years ago. Value= about 50 bucks
It is a double shoemaker's last, I have three-way ones I can't get rid of.
No it does not use a stand. You lay it on one side and hammer the side turned up. For the smaller size shoe you just turn it over.