Unfortunately Natalie I think the continuity of care you have received/are receiving is a pretty rare thing these days. Don't you even have some of your antenatal appointments at home? I was totally gobsmacked to hear that.
I rarely see the same community midwife twice and I certainly won't have seen the person who delivers this baby before. As I understand it, you even have your midwife's number. I just have the telephone number to a voicemail you can leave a message on and a community midwife should ring you back within 24 hours (not great for an emergency!)
The midwife who delivered DD was great but, like Hayle everything was straightforward, so all he had to do was stay out of the way until pushing stage. I never saw him again after that.
The only good thing about having lots of different midwives is that if one annoys you the chances are you won't see them again anyway 