In 1726 The Whole Art and Mystery of Modern Gaming Fully Expos'd and Detected probably gives one of the first discriptions and refers to the game of Basset, and writes of a perfect shuffle, giving reference to it's off shoot in the game of Faro, which developed from Basset.
But it is not until the 1894 edition of Koschitz's Manual of Useful Information that I have been able to find what I feel is a faro shuffle as in the actual game in the time of Wyatt and his brothers. He talks of taking one half of the pack in each hand and "butting in" the halves. I interpret this section of the book (5, 27-28) to mean that the faro at that time was the action of the pushing, or butting in of the cards caused the interweaving of the cards.("The momentary springing of the pressure given")
Then in John Nevil Maskelyne's Sharps and Flats, 1894, some feel that this perfect shuffle actually was given the name of The Faro Dealer's Shuffle. The illustration, 67, 204 also only shows the "butting in".
There are more references but this is enough I think to answer your question, I was a dealer in Nevada and approach this from a different direction.