I do have a John McKee (my Great Great Grandfather). He was born in 1835, I did not have a day and month yet. Born in Bangor, County Down, Northern Ireland.
I know they did travel around.
My Grandfather William James (Bill) McKee travelled back and forth to the USA and Canada many times finally settling in Windsor, Ontario, Canada. He and my Grandmother married in Detroit, Michigan, USA.
I think the McKee got around, and John McKee was even in New Zealand for a period of time.
All my McKee originally come from Bangor, just outside of Belfast, County Down, Northern Ireland.