Unless you or your parent is an immigrant from England (which is highly unusual these days), your most recent English antecedents probably came here during the 18th or 17th century. That's a lot of remove and most people probably aren't aware of that connection unless they're into genealogy.
Actually there was a fair amount of emigration from Britain to the U.S.A. in the 19th century; often of skilled workers.
Does that include Ireland as a part of Britain during that time period? I don't see what motivation a skilled worker in 19th century Britain would have for emigrating. It's not as if there was a shortage of opportunity there.
lol, have you ever read a Charles Dickens novel?