If we were talking, say, Siamese cats (which I bred and showed for 15 years or so), I would agree with you. But we've had rigorous selective breeding of those cats for over a hundred years, and they reproduce much faster than humans. Even then, we're talking about several distinct recessive traits and factors, and the breeding square is complicated.
Human genetics is messier. There is more than one simple recessive gene at work here, and these flat-out statements just won't wash, especially in a population as diverse as the U.S.
I imagine the Norwegian gene pool is a little smaller and has more "true blue" eyes (although that's probably changed with the influx of Muslim immigrants.) I still wouldn't bet a marriage on it.
I wouldn't bet a marriage, either -- but a DNA test might be in order.
That said, the only way a brown-eyed child is possible is a parent is really a Hazel that is "passing" for blue.