...naming of farms became fashionable at some identifiable point?...
I'd guess the Gilded Age\Gay 90's, at least in the US

Mid Uncle’s Sam’s expanded
      acres
    There’s an old, secluded glade
Where grey Puritans and Quakers
    Still grow fervid in the shade;
And the same great elms and
      beeches
    That once graced the ancestral
      farm,
Bending to the old men’s speeches,
    Lend their words an echo’s
      charm.
Laurel, clematis, and vine
    Weave green trellises about,
And three maples and a pine
    Shut the mucker-village out.
Yet the smoke of trade and battle
    Cannot quite be banished
      hence,
And the air-line to Seattle
    Whizzes just behind the fence

-George Santayana

++++++++++++++
A not so genteel name in this county:

Duyck's Peachy Pig Farm