Immigration came to a near standstill as the new country got on its feet. Loyalist moved to Canada, the Caribbean or England. Americans moved west. Kentucky saw the most growth. Settlers started to move into the southern territory that became Louisiana, Mississippi, Alabama and other southern states. Others headed for the Ohio and Northwest Territories, today's Midwest.
A few of my ancestors were making the move down the Ohio River and following Boone's trail through the Cumberland Gap route and other paths into Kentucky. No new Americans came over that I know of.