The Paquet reverse double eagle combined with an 1859 obverse. This pattern was struck from a reverse die using the hub of the 1861-S reverse.
It differs slightly from the other hub in the position of the eagles wings relative to the "E"s in "United" and "America". On the 1861-P hub, the wings point to the "E"s whereas on the 1861-S hub, the wings point between the "T and E" and the "E and R".
For additional information on this, please refer to the article on the 1861 Paquet dollars in the ANA Centennial Anthology.
To compare the reverse dies visually, we recommend looking at page 395 of Bowers and Merena's Norweb 3 sale where both the 1861 and 1861-S Paquet coins were offered.
Only 1 or 2 are believed to exist. The Woodside, Woodin-1914 ANS, Newcomer, Farouk, Judd, Bass-B/M 5/99, ANR 1/05 example is gilted and is illustrated above. A possible second example sold for $8.50 as lot 377 in J.C. Morgenthau & Company's 9/35 sale or it could be another appearance of the gilt coin with the gilding not noted.
Photo courtesy of American Numismatic Rarities.