Extended Question:

How could they be admitted to the Republic, when there were no representatives of the lawful government of the Republic to admit them? If states admitted to the union after the war were admitted to the CORPORATION and not to the Republic, then how can people born in those states be citizens of the Republic?

Answer:

I believe you may be referencing some statements from the Executive Summary. No matter I think we can clear up the issue. The lands, territories and subsequent States have always belonged to the inhabitants of them. The people of those States were citizens of those States and became citizens of the United States when the State became part of the Union. But they always remain citizens of the State they inhabit.
The corporation that became the UNITED STATES government never gave full disclosure to the people as to whom and what they really were. They (U.S. inc.) posed as the lawful Republican form of government that they were constitutionally bound to be. However most of the people were not aware that the Constitution had been suspended during the Civil War era and was not restored. As I’m sure you already know, in law, intent is everything. The people had no idea what was being done to them. Clearly the people of those States which were accepted after the usurpation by the corporation intended to be a part of what they believed was the lawful union of the United States of America. They did know that the UNITED STATES of AMERICA inc. was not the same thing.
We recognize that the lands belong to the people. We also recognize that the people are citizens of their States. Therefore we are bound to accept that the people’s intent to join the lawful Constitutional union of the United States of America with its guaranteed Republican law form must to be upheld. To enforce any other status or jurisdiction would be to deny them the their God given Rights so eloquently stated in the Declaration of Independence and preserved with the Bill of Rights.