If you look closely at the map of Uldo (鬱島), you should see a small island off its northeast shore labeled as "竹" (Juk), which was an abbreviation for Ulleungdo's neighboring island of Jukdo (竹島). The map does not show Ulleungdo with any other neighboring islands. Not even Gwaneumdo (觀音島), which is a fairly large neighboring island of Ulleungdo is shown. However, Gwaneumdo is only about 100 meters off the east shore of Ulleungdo, and maps at the time suggest that Gwaneumdo was considered more of a cape than an island, which was most likely why it was not shown as an island on this map.
Inside the box encircling Ulleungdo are Chinese characters that give the latitude and longitude for the island. The characters and their translation are as follows:
南北緯 百三十度 四十五分至三十五分
North-South Latitude: 130 degrees 45 minutes ~ 35 minutes
東西經 三十七度 三十四分至五十一分
East-West Longitude: 37 degrees 34 minutes ~ 51 minutes
Unless I am misunderstanding something, the geography text seems to have gotten the longitude and latitude mixed up. That would mean that the latitude should be 37 degrees 34 minutes ~ 51 minutes, and the longitude should be 130 degrees 45 minutes ~ 35 minutes. Excusing that mistake, the map gives the eastern-most boundary of Ulleungdo at an east longitude of 130 degrees 45 minutes. That measurement is off the actual location by about 11 minutes since Ulleungdo's Jukdo (竹島) is actually at an east longitude of approximately 130 degrees 56 minutes.
Korea claims that Liancourt Rocks (Dokdo) was also a part of Uldo County (鬱島郡) in 1907 and was called "Seokdo" (石島), but not only does this map of Ulleungdo not show Liancourt Rocks or any island named "Seokdo," it also tells us that Liancourt Rocks could not have been a part of Uldo county since Liancourt Rocks are located at a longitude of 131 degrees 52 minutes, which is much farther east of the eastern-most boundary of Ulleungdo given above. The name "Seokdo" (石島) was not a reference to Liancourt Rocks, but was simply a reference to the small, rock islets around Ulleungdo. The name "Seokdo" (石島) means "rock island" or "rock Islets". (See HERE.)