The constitutional authority of Congress to legislatively control any lands within the United States is set forth in this way:
United States Constitution
Article I, Section 8
¶1 The Congress shall have Power...
¶7 To establish Post Offices and post Roads;
¶9 To constitute Tribunals inferior to the supreme Court;
¶12 To raise and support Armies, but no appropriation of Money to that Use shall be for a longer Term than two Years;
¶13 To provide and maintain a Navy;
¶17 To exercise exclusive Legislation in all Cases whatsoever, over such District (not exceeding ten Miles square) as may, by Cession of particular States, and the Acceptance of Congress, become the Seat of the Government of the United States, and to exercise like Authority over all Places purchased by the Consent of the Legislature of the State in which the Same shall be, for the Erection of Forts, Magazines, Arsenals, dock-Yards and other needful Buildings;
Article IV, Section 3
¶1 New States may be admitted by the Congress into this Union; but no new State shall be formed or erected within the Jurisdiction of any other State: nor any State be formed by the Junction of two or more States, or Parts of States, without the Consent of the Legislatures of the States concerned as well as of the Congress.
¶2 The Congress shall have Power to dispose of and make all needful Rules and Regulations respecting the Territory or other Property belonging to the United States; and nothing in this Constitution shall be so construed as to Prejudice any Claims of the United States or of any particular State.
The legislative authority of the State of Oregon that must be exercised to give consent to the ownership of lands with our state is shared with that body by the people of the State of Oregon as set forth here:
Oregon Constitution
Article IV, Section 1, (2) (a) The people reserve to themselves the initiative power, which is to propose laws and amendments to the Constitution and enact or reject them at an election independently of the Legislative Assembly.