Were there weapons that a private citizen could not legally own in 1789 in the US?

Question

For example: a cannon, certain types of muskets etc... Were there laws for whether women or freed slaves could not own specific weapons?

Answer 1

There were not any restrictions on any type of weapons in 1789. The reason for this was the Founder's understanding of the word militia. The militia was essentially composed of all able bodied males were generally considered to be part of the militia and were expected to own and maintain a gun. Due to this there were no restrictions on individuals owning any type of weapon even cannons.