Yes I know the Queen finally 'appoints' them but I wondered it was advertised like any other job (such as ours is now) or if it is a form of reward such as ours was until recently. Our L-G fulfills the same role as your G-G, Queen's representative, meets visiting dignatories etc but no teeth, lives in a big tied-cottage (Government House) and hosts the annual drinks party for the Queen's birthday, has no number plate on his official car. His gardener always wins lots of prizes in the horticultural show!
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Many a child has been spoiled because you can't spank a Grandma!