This design with just a laurel wreath on the reverse are believed to be restikes made circa 1859 with the possible exception of one of the silver pieces highlighted below.
Examples were struck as follows:
Gold J137/P164 with 2 known. The pedigrees below are courtesy of Ron Guth with additional information from the Newman Numismatic Portal.
1) PCGS-65 (illustrated above). Dewitt Smith, V. Brand (journal id #46970), Horace Brand, Dr. J. Hewitt Judd - Abe Kosoff, 1962, "Illustrated History", Lot 164 (pictured) - Dr. John E. Wilkison - Paramount International Coin Corporation, Superior 1/08. Plated in Akers, where he notes that this coin was struck over an 1846 Quarter Eagle. In error, Pollock lists this example as being struck over an 1859 Quarter Eagle, apparently mixing up the two known specimens. Ron Guth examined this piece at the May 2000 Central States Numismatic Society’s annual convention and was unable to confirm the 1846 date. Although other evidence of the Liberty Head Quarter Eagle undertype remain visible, the position of the date coincides with one of the laurel leaves on the reverse of the pattern, effectively obliterating the date.
2) PCGS63. H.P. Smith (S.H. & H. Chapman May 1906), Granberg, Newcomer, Col Green, F.C.C. Boyd (see B.G. Johnson 9/27/43 invoice), Sotheby’s 1954 sale of King Farouk’s "Palace Collection", part of Lot 334 (which also contained a Judd-145 and a blank planchet for Judd-135) - Robert Schermerhorn - James Kelly’s 1956 ANA Sale - Lenox Lohr, Empire Coin 1961 Lohr FPL, Dr. James O. Sloss - sold in 1974 to Abe Kosoff - New England Rare Coin Auctions’ July 1979 ANA Sale, Lot 1298, where it was pictured and described as "Uncirculated", Simpson collection. Chapman described the coin as being struck over an 1839 Quarter Eagle, an attribution that was finally corrected by David Akers, who examined the piece and discovered the date of the undertype to be 1859! Pollock incorrectly lists this example as being struck over an 1846 Quarter Eagle (see note above).
Silver J138/P165 with over a half dozen known. Several of these are known to have been struck over seated liberty dimes, at least one of which is dated 1860. There is an intriguing example, possibly the only original from this die pair, which first appeared as lot 773 in the June 1855 Kline sale which pre-dates any other off-metal gold dollar. The lot description is below from the catalog on the Newman Numismatic Portal.
Copper J139/P166 with only the Lilly coin now in the Smithsonian confirmed.
Copper-Nickel J140/P167 with about a dozen known.
Nickel J140A/P168. with only the NERCA 4/80 piece known.
Photos courtesy of www.coinfacts.com and Alhambra Coin Center.