I know here on the site it states that puffballs have no medicinal value but they certainly used to. Here in the UK, the old, leathery ones (full of dark brown, dry spores) were strung up by the forge where they would keep dry. If someone cut themselves, a puff of the spores soon staunched the bleeding, aided clotting and seemed to keep infection at bay.
The ones we used here were about the size of your fist, smooth but leathery to look at when fully mature. Not particularly tasty when white but not bad, better battered or cooked in a stew rather than on their own.