Glad everything went so well - congratulations. Next time it should be a lot more relaxed - for both of you.
One thing: noticed your comment "I also felt gently with a finger - nothing to feel."
Well, it would take a lot more than a finger to feel if anything was still in the pipeline, so to speak - the two uterine horns can be the length of your arm (2-3ft), so you would need to be in as far as your armpit in order to make sure there was nothing else in there! It's not an easy job, I can tell you! Lambing is child's play compared to helping with a difficult farrowing.
Hopefully your next farrowing will be as straightforward as this one, but something to bear in mind for the future. Enjoy watching your piglets (be warned that you will waste LOTS of time over the coming weeks!)
Liz x