You’re not going to find Jefferson, Madison, Randolph, et al., calling the Federal Government “national.” They typically called it the “general” government.
This matter is discussed extensively in the lectures. Again: a federal government was created by the parts with certain powers in the center (as in Switzerland, The Netherlands, Australia, or–in theory–the USA), while a national government has component parts for the convenience of the center–as in France since the Revolution.
