Jefferson never traveled west of the Appalachian Mountains, or to India. I don't know about Hamilton but I don't think he ever traveled west of the Appalachians either.
This is the first time I ever heard of Indiana being named for India--I had always connected it with American Indians.
Jefferson was highly influential because he got a copy of all the most important books, and even kept original notes made by other explorers ~ I can only imagine that he might once have followed George Washington to Natural Bridge Virginia ( see: http://www.monticello.org/reports/interests/natural_bridge.html ). Jefferson ended up OWNING Natural Bridge, and actually went out there to see it in 23 August 1767.
It's technically IN THE HEART OF THE ALLEGHENIES (or something like that). It's pretty far West too. It's also due South of Erie PA.