For "Mme. Finet", DDD give other references for their c. 1800 date (footnote 3, p. 282): Hoffmann & Kroppenstedt, Wahrsagencarte 1972 no. 68; Hoffmann and Dietrich Tarot - Tarock - Tarocchi 1988 no. 105; and Depaulis 1989, nos. 100, 101, and 102.
One of those appears to be possibly the one reference the Cary collection gives :
Notes and References (Cary)
D. Hoffmann and E. Kroppenstedt 1972, pp. 140, 144, nos. 65, 68.
Hoffmann & Kroppenstedt, Wahrsagencarte 1972 no. 68;
Cary says. c.1840, so I presume the DDD of c.1800 is based on the others.
As you wish ...
... from a Museum in Mainz, Germany. Das Buch Toth, published by the Baumgärtner Verlag, Leipzig 1793
Baumgärtner was only the publisher. There's some suspicion, that this production was related to Hisler, who occasionally cooperated with Etteilla.
Thanks Huck, the cards shown are different to the illustrations in the 1857 edition, it would be interesting to see how they correspond to the engravings inside the 1793 they are shown with. They are very similar to the German Deck at the BM (backs though are different). Would it be right to say that the engravings in the 1793 are probably the oldest and nearest fully extent of the Etteilla? (The examples we have of Etteilla's own being incomplete.) Is it basically a translation of Etteilla's theory and practice course?