A name for the garden? Yes.
The Brits do it as a matter of course. We spend enough time with ours it should have its own social security number, 401K, and iPhone, never mind a name.
In any case, as the fruit trees were planted, the stone laid in the potager aisles, the haphazard old perennial plantings rethought and brought to heel, we realized...the property already had an identity. Now it needed a name.
With a nod to Tolkien (and with more than a little hope that some of the Shire would rub off), Overhill Garden it became. You'll navigate a hill or two in any approach to the property, and we gaze at and over hill and valley from every angle.
Welcome to Overhill Garden.
garden |ˈɡɑːd(ə)n|
NOUN (UK) a piece of land next to and belonging to a house, where flowers and other plants are grown, and often containing an area of grass
NOUN (US) a piece of land, usually in a yard next to a house, where you grown flowers and vegetables
ORIGIN Middle English: from Old Northern French gardin, variant of Old French jardin; of Germanic origin; related to yard.