Below is an 1875 Japanese map of Korea, made my Sekiguchi Bisyo (關口備正). The map is important in the Dokdo-Takeshima debate because it clearly shows Usando (亐山島) as a neighboring island of "Takeshima" (竹島), which was also labeled as "Ulleungdo" (鬱陵島), while also showing Matsushima (松島) as an island much farter to the southeast. This is important because it is clear evidence that Japanese believed Usando to be a neighboring island of Takeshima (Ulleungdo) rather than the Japanese island of Matsushima.
The above map is also a perfect example of how Japanese and Western maps often mismapped Takeshima and Matsushima in the 1800s . Though the Japanese believed Takeshima and its neighboring island of Usando to be Korean territory and Matsushima to be Japanese territory, the islands were often mismapped in the 1800s, due largely to a mapping error by the British ship "Argonaut" in 1789. The British ship mapped Ulleungdo (Argonaut) as being much farther northwest of its actual location and named it "Argonaut."
The shape and location of the island labeled as "Matsushima" (松島) on the above map tell us that it was actually Ulleungdo (鬱陵島), even though the island much farter to the northwest, was labeled as "Takeshima, also called Ulleungdo" (竹島 一名 鬱陵島). However, the island labeled as Takeshima (Ulleungdo) on the above map was actually the non-existent island of Argonaut.
Also, notice that the small island drawn just off the southwest shore of the island labeled as Takeshima was labed as "Ulsando" (亐山島), which was one of the misspellings of "Usando" (于山島). As I said above, this is evidence that the Japanese believed Usando to be a neighboring island of Ulleungdo rather than "Matsushima" (松島 - Liancourt Rocks), which the Japanese believed to be their island.
A Japanese survey of Ulleungdo in 1880 confirmed the mapping error.