The Wilson so-called dollar restrike is a privately commissioned medal struck by Daniel Carr of the Moonlight Mint. It commemorates the 100th anniversary of the Manila Mint opening on July 6th, 1920. It is almost an exact copy of the original medal except for the reverse legend. The reverse legend of the original "Wilson Dollar" reads, "To Commemorate The Opening Of The Mint," and the date is 1920. The restrike replaces the word "Opening" with "Anniversary" and dates 2020. What makes this medal a restrike is that the original 1920 obverse die engraved by George T. Morgan was used to strike the 2020 medal. The question now is, how did this die get into private hands without first being canceled? The answer to this question is fascinating, and I can't tell it all, so I'll give you my sources to read for yourself after I whet your appetite.
The branding of the Medallic Art Company really began with the founding of the Art Students League of New York in 1875. In the early 20th century New York City became the arts center of America. It is no wonder with instructors like Augustus Saint-Gaudens, James Earle Fraser, Daniel Chester French, and students like Laura Gardin. (This same Laura Gardin would later marry James Earle Fraser in 1913).