There is a name of R.Hausermann, an engraver, at the left bottom of the map.
[This map is from the Osaka University Library.]
Please compare with the 1855 map, which depicted Ulleungdo (Oulangto) and Usan (Oosan) in traditional Korean way.
This map may be the basis of the 1880 map as the shape of the peninsula and islands are similar.
Sorry, I tried to make it possible for readers to click to enlarge the map but it didn't work well.
Please visit here to see the map in large size: