According to Wikimedia Commons, which also has an ultra-high-resolution image of it, this advertising poster art dates from 1883. The image contains the text “Belle of Nelson Old Fashion Handmade Sour Mash Whiskey. Distilled by the Belle of Nelson Distillery Co., Louisville, KY. Copyright Secured. Wells & Hope Co. Phila. PA”. The poster was based quite closely on the orientalist painting Pool In A Harem by Jean-Léon Gérôme, which is on display in the Hermitage Museum in St. Petersburg, Russia.
Image provenance by Bacchus at Erosblog.