I went over last time by two weeks. I had a sweep (yuck, ouch!), then was admitted that night to start induction. Progress was slow. To make a long story short, I ended up with an emergency caesarean 36 hours after the start of the induction.
Sorry, I know this isn't what you wanted to hear. But, the reason for this was because my little acrobat wrapped the cord around her neck TWICE, and around her body and foot. So she was literally tied up and notheing was going to send her down.
When the contractions were induced, it tightened the cord around her neck and when she went into fetal distress, we headed for cesarean. There was no hesitation on my part. If it weren't for the medical technology that today gets such a bad wrap DD (and probably me too) would be dead.
SO, I hope you don't read this as a horror story. I see it as a very happy ending. She had a very good apgar score after birth, and I didn't find the recovery from caesarean to be bad at all... oh, and I never had to sit on a ring. AND, I won't have any incontinence issues as a result of the things that get torn and otherwise damaged down there the "natural" way.
I totally understand that some people find it very important to go the natural route. But, if you end up in caesarean, it is probably for the better.
However, all of that being said, I think second babies tend to show up sooner than first ones.