This sounds a lot like an urban myth, but my brother-in-law tells me
that this happened to the wife of someone he works with. I must admit
that Im a bit sceptical but its certainly worth a chuckle.

It seems that this lady didnt quite make it to hospital for the birth
of her child, in fact, the baby was born on the lawn just outside the
main entrance. The poor woman was dreadfully embarrassed and was being
consoled by one of the Nurses, who said; Dont worry about it. It could
have been worse, why two years ago we had a woman who gave birth in the
elevator. The woman cried That was me! and burst into tears.