My Dad's side of the family goes way back to the pilgrims. Not sure which boat they came over on. But they landed in Massachussets, and left (okay, banished), and established Rhode Island. My great, great, couple more greats, grandfather signed the Plymouth Compact in 1638 which some historians say established the first democratic form of government. Pretty cool.
The other side is not so easy to research, so I don't know when they came over. And I know I there was an Indian on my great-granmothers side.
My paternal grandmother's mom came over from Scotland when she was a little girl. Her mother was supposedly Irish, but grandma says Scots didn't talk about such things. It was embaressing.
I am as about american as you can get. A big mix of stuff.