Was the name of the document written and signed that started your intentions of becoming a free independent country?

The date that the Declaration of Independence was written is unknown as the only reference given to the declaration is of its signing. Most probably, the declaration was written was in late June or early July. The declaration was written by John Adams who was the scribe at the time. The signing of the Declaration is commonly known as Independence Day and is celebrated in the United States of America on the 4th of July.
July 4, 1776 was the date the Declaration of Independence was signed.