Conversation so far:
What was Lewis H. Morgan's The New Confederacy of the Iroquois?
Lewis H. Morgan's The New Confederacy of the Iroquois was the fourth name of a secret society Lewis H. Morgan and some friends from Cayuga Academy created.
Was Lewis H. Morgan's The New Confederacy of the Iroquois a mason society?
In 1844, Lewis H. Morgan received permission from the former Freemasons of Aurora to use the upper floor of the Masonic temple as a meeting hall.

Question: Why did they rename it
Self-contained rewrite: Why did the young men rename The New Confederacy of the Iroquois?