This image is of an original lobby card or poster created by Republic Pictures Corporation for the film w:Barnyard Follies. It has been cropped to remove the rather broad white border, straightened, and brightness, contrast, and color adjusted to restore clarity and appearance. On the uncropped image there is no copyright mark or date in the border area or elsewhere. However, it would be from when the film was first released on October 6, 1940. The only marks found on the uncropped image are in the lower right border area where there is what appears to be a printer's union logo, which is unreadable, and to the right of which it says "COUNTRY OF ORIGIN U.S.A.".
Typically lobby cards and posters were purposely not copyrighted so that content could be used and additional copies made locally as needed to promote the movie.
Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (70 years p.m.a.), Mainland China (50 years p.m.a., not Hong Kong or Macao), Germany (70 years p.m.a.), Mexico (100 years p.m.a.), Switzerland (70 years p.m.a.), and other countries with individual treaties.