I have nothing to say to your contribution and the impressive information provided, batgirl.
Thanks for everything!

The game vs. Bertand was invented by the famous Capt. Kennedy in his 1862 Reminiscences in the Life of Augustus Fitzsnob. Kennedy admitted the hoax claiming the game  in question was really by himself against John Owen (Morphy's infamous "Alter") The game vs. Elisabeth le Michaud d'Arcon de Vaudey, aka  Madame De Remusat, had been first published in Le Palamède of July, 1845 which was, at that time, edited by Saint-Amant of the non-twisted mind. 
As far as the game between the Turk and Napoleon, there is little doubt a game took place, even though it wasn't reported until after 20 years had lapsed.  Tom Standage, in his book on the Turk, claims one of the reasons is that there were few actual witnesses.  The game score didn't appear until nearly 40 years had lasped (in the Illustrated London News of 1844).  Now, with all respect to GM Averbakh, there seems to be totally no evidence that the game is real and every indication that it's suspect or spurious.  At the time the game was played it was very rare that anyone kept game scores.  Note how few games there are by Bourdonnais or Deschapelles (there are some by Philidor in his later life thanks to the unique abilities of his later opponents to record scores).  Even if one of the few witnesses had for some reason been able to write down the score, the chance of it being, hidden, preserved, and for some reason published out of the blue 40 years after the fact with no supporting authenication seems to make its believability remote at best.  The idea of it's fabrication  is supported by most historians, including Winter who wrote a short treatise on Napoleon and chess.

I've collected about 15 important historic articles on the Turk (and some on Ajeeb and Mephisto as well) that may interest fellow Turk lovers.

batgirl wrote:
' The Napoleon vs Automaton game score is a known fabrication. The story of the Polish officer with no legs is also a fabrication (by Jean Eugène Robert Houdin, no less).

Thank you very much, batgirl, for your clarification. 
(I'm a fan of your interesting articles ). 

I know about the Turkish have created many legends, some are real and others invented.

Concerning the game Napoleon vs The Turkish, as reported by GM Yuri Averbach in one of his books, several of the games played by Napoleon that have survived are false, were invented in the nineteenth-century by French champion Pierre Charles Saint Amant, praising the idea of the character. For example, according to Averbach, the famous games Madame Remusat vs. Napoleon and Napoleon vs. General Bertrand, were inventions of the twisted mind of St. Amant.

All chronicles match that Napoleon was a feeble chessplayer, it seems strange to he play this two high-level games.

However, according to Averbach, the game vs. the Turkish is real. In fact it is a game looser than those of Mme. Remusat or Bertrand.

Moreover, precisely the irregular opening played in this game (1.e4 e5 2.Qf3) is just called "Napoleon oberture" (C20).

More!

The Napoleon vs Automaton game score is a known fabrication. The story of the Polish officer with no legs is also a fabrication (by Jean Eugène Robert Houdin, no less).