‘A new preposition is born’

anything a squirrel can do to a tree
Phyllis Davenport

Anything a squirrel can do to a tree is a memory aid for one group of prepositions, those having to do with location. On the tree, under the tree, beside the tree, and so on.

Here are Rodney Huddleston and Geoffrey K. Pullum on the most common meanings expressed by prepositions (p20):

The most central members of the preposition category have primary meanings expressing various relations of space or time:

across the road
in the box
after lunch
off the platform
at the corner
on the platform
on the roof
before Easter
under the bridge

And here is Geoffrey Pullum on a new preposition being born.