My only question being how would we handle John Quincy Adams and other US presidents with the same last name?One semi-insane idea I had would be to name almost every state for a President. This would have started when Washington died in 1798.
There are two ways to to this. One is when a President who has served a full four year term (excluding William Harrison, Tyler, Taylor, Fillmore, Andrew Johnson, Garfield, Arthur, Kennedy, and Ford) dies, a state is renamed for them, starting with Virginia being renamed Washington.
The other way, more likely, that when a new state is admitted to the Union, Congress just names it after a former President, excluding Vermont and Rhode Island. So that leaves 38 potential states. When Kentucky and Tennessee were admitted, the only available former President was Washington, so presumably Kentucky comes in as Washington and Tennessee remains Tennessee. Then Ohio would have to be admitted as Adams under this system, unless the "president has to be dead rule is applied" which would change things, as no dead presidents would be available as names until after 1824.