tree vs shoetree

tree and shoetree both are nouns.

As verbs, tree and shoetree are synonyms defined as:

tree (noun)	shoetree (noun)
a tall perennial woody plant having a main trunk and branches forming a distinct elevated crown; includes both gymnosperms and angiosperms	a wooden or metal device that is inserted into a shoe to preserve its shape when it is not being worn
a figure that branches from a single root

tree (verb)	shoetree (verb)
force a person or an animal into a position from which he cannot escape	stretch (a shoe) on a shoetree
plant with trees
chase an animal up a tree
stretch (a shoe) on a shoetree