To follow is from the USA answers to Australian government concerning the SF Peace Treaty. It is apparent that USA thought that Liancourt rocks (Takeshima) belongs to Japan.
Undated Memorandum by Mr. Robert A. Fearey of the Office of Northeast Asian Affairs. (From "Answers to Questions submitted by the Australian government")
It is thought that the islands of the Inland Sea, Oki
Retto, Sado, Okujiri, Rebun, Riishiri (sic), Tsushima, Takeshima, the Goto Archipelago, the northern most Ryukyus,
and the Izus, all long recognised as Japanese, would
be retained by Japan. The central and southern Ryukyus, the Bonins, including
Rosario Island, the Volacanos, Parece Vera and Marcus would be placed under the
trsuteeship system of the United Nations with the United States as the
administering authority. Because of the considerable population of the Ryukyus
and and the virtual certainty that that strategic trusteeship would be veoted by
the Soviet Union, the United States would seek ordinary trusteeship for these
islands. Japan would accept the United Nations Security Council action of
April2, 1947 extending the trusteeship system to the former Japanese Mandated
Islands. The treaty would contain no reference to Pratas Reef and Island, over
which China formally reasserted sovereignity in 1947 or to the Paracel Islands
or Spratly Island, title to which has been disputed between France and China.
While Japan also claimed Spratly Island before the war its claim to this
uninhabited spot is not believed important enough to warrant mention in the
treaty. The Japanese government never claimed any territories in the Antarctic.
It is not considered that Japan should be required in the treaty to renounce
claims on behalf of Japan made by Japanese Antarctic expeditions.