I was born just two days away from being an Olympic Baby. I was born on the 11th, the Athens opening ceremonies were on the 13th.
That almost happened with one of my kids. The due date was smack in the middle of the Atlanta Olympics, which had us worried about what traffic might be like going to the hospital, since Atlanta traffic is troublesome even under the best of conditions. But the baby arrived a couple weeks early, several days before the opening ceremony.
As it turned out, Atlanta roads were exceptionally free of traffic during the Olympics, probably because everyone was scared off and most businesses allowed people to work from home for the duration. The MARTA trains, however, were packed like sardine cans.