This is a fantasy piece combining the Paquet seated liberty design with Longacre's French head to create a two-headed coin. Your editor, Saul Teichman, has always questioned whether the French head was designed by Longacre or Paquet as it used Paquet's punches in the legend "United States of America".
These were possibly struck in 1859 as an example of this was offered as lot 1185 of Bangs and Co’s April 1865 sale of the Joseph N.T. Levick collection.
The following examples are known:
1) Byron Reed-Durham Museum
2) Mitchelson-Connecticut State Library
3) Harry W. Bass Jr. Resource Foundation.
4) B/M 11/87, Lemus-Queller, Heritage 1/09 - NGC65, illustrated above
5) Eliasberg - gem proof
6) Kentucky collection - NGC64
7) Simpson-Heritage 1/21 - PCGS65
One of these sold as lot 2033 in E Cogan's 10/1865 sale of the F.S. Edwards collection. Lot 2034 was described as "1859, Same as above. In copper, Uncirculated". Regrettably, this piece is unknown today.
Photo courtesy of Heritage.