From 1884 to 1888, a Korean official with the title of "Samcheok Yeongjang" (三陟營將 - 삼척영장) was charged with inspecting Ulleungdo. The fact that the map below lists the leader of the inspection team as "Yeongjang" (營將) and that it is, in fact, displayed in the "Samcheok" museum suggest the map was made sometime between 1884 and 1888.
Another reason I believe the map was made between 1884 and 1888 is that it showed and named Ulleungdo's two neighboring islands, which was done on only two other old Korean maps. One of the other maps was Inspector Lee Gyu-won's 1882 map of Ulleungdo. I believe that the map below was made after 1882 since it seems to have adopted Inspector Lee's new concept of viewing Gwaneumdo (觀音島 - 관음도) as an island rather than as a promontory.

The above map can be found on Tanaka Kinitaka's Web site at the following address:
http://www.tanaka-kunitaka.net/takeshima/samcheok/