Take your notes, but you'll be fine. I was still travelling at 37 weeks 150 miles from home. In fairness, it was to a regular office and I had kind of lined up a colleague for the 'what if' scenario but I had only arranged it tongue in cheek.
It was my first so I gathered it would probably take a while to turn up once I started. Actually gave birth rather swiftly at 40+4 :)
Good luck!