1930s, from Dempster-Dumpster trash-hauling mechanism, patented by Dempster Brothers and probably named from dump (v.) with the surname in mind. Dumpster diving attested from 1979. Dumpster fire, in figurative reference to a situation that is calamitous, foul, and unfixable (and possibly not worth the trouble of attempting to fix) or a person perceived as a walking cascade of failures and bad decisions, emerged into popularity in 2015, in the run-up to the 2016 U.S. presidential election.
The surname (late 13c.) is a fem. form (but, like Baxter, probably used also of men) of Deemer, a North of England and Manx term for "a judge;" see deem (v.).
used in reference to various qualities and things associated with 19c. French emperors of that name, especially Napoleon I (Bonaparte), 1769-1821. The given name (Italian Napoleone) is attested from 13c., said to be from a St. Napoleone of Alexandria, a 4c. martyr. It has been folk-etymologized as "lion of Naples" or "nose of a lion."
The name was applied to a gold coin issued by the government of Napoleon I, bearing his image, worth 20 francs. As the name of a 12-pound artillery piece, it is in use in U.S. military from 1857, from Napoleon III (1808-1873), under whose rule it was designed. As a type of boot, by 1860; as a card game, by 1876; as a type of rich cake, from 1892; as a type of good brandy, from 1930. The name also was applied by 1821 to anyone thought to have achieved domination in any field by ambition and ruthlessness. Napoleon complex in reference to aggressiveness by short people is attested by 1930. Related: Napoleonic; Napoleonism.