The First Bank of the United States was an instrument of monetary inflation and credit expansion. It was a proto-central bank and therefore, not a different idea but a less extreme version of the same idea.
Here is Murray Rothbard’s assessment from his book, A History of Money and Banking in the United States:
https://mises.org/library/8-first-bank-united-states-1791-1811
Here’s more information on the FBUS:
http://wiki.mises.org/wiki/First_Bank_of_the_United_States