Hedge Witch, Green Witch, Garden Witch, Kitchen Witch, Cottage Witch? These are mostly marketing terms, phrases put together to make good book titles. Hedgemage is a phrase I have run into in fantasy novels and such to mean someone who wasn’t a trained wizard but could still do magic down and dirty. But other than that, how old are these phrases actually? They seem to originate early this century (2001-2003ish).
And as far as I can tell from the various books about them, they are all nearly the same things with minor difference about what part of the town is the witches favorite. Nothing against anyone defining themselves that way! These are fun terms to use. But you are a witch whether you are in the kitchen, on the other side of the hedge/fence/railroad tracks, in your garden, living in a cottage, or a high rise apartment.