My mum was Creole, from New Orleans. Her heritage was French, Choctaw, and Cherokee, with the slightest dash ot African. Her family brought her to Chicago as a baby. Mum spoke both Creole and French. My dad is Afro-Cuban, from Santiago, Cuba. His family immigrated to Jamaica, then my dad came to this country in 1945. His first language was Spanish, and he learned English while growing up in Jamaica.
My mum's family was against her marrying my dad because they were Creoles who had a bit of money, and could "pass," while my father was poor, a foreigner, and Black, to boot!

You see, race was an extremely important issue in Mum's family, because if you know anything about slavery, particularly in Louisiana, you'll know that they had a very complex system of determining what you were, based on how much African blood you had in you. Terms like "Quadroon", and "Octoroon(sp)" may be familiar terms to some who are history buffs, or know a bit about the era of slavery in the United States.
Well, Mum's family was Octoroon, only 1/8 African blood, so to her family, it was scandalous that she would consider marrying this bloke, who, though he spoke the King's English, was poor, and very, very dark. But, Mum loved Dad, so she married him against her family's wishes. As it turned out, my dad ended up becoming quite well-to-do, so that was some consolation for his being black.
So, there you have my story, along with a bit of history, and a view of race. I, like Joe, hope that this discussion doesn't turn racist or nationalistic. I also hope that I didn't offend anyone, or make anyone uncomfortable with my story. As Joe said, many Americans, indeed, many others, may have some unusual ethnic backgrounds. It would be really neat to hear your stories.