Sounded like a great birth (though hard). It reminded me of my first homebirth when I also got a monster contraction where I felt the baby move down. It was very weird!! That was a quick labor like yours.
Whats funny is this labor was longer than my 4th, he was born w/ in 2 1/2 hours from thinking i could be in labor!!! So in my mind i expected this child to fall out....have no expectations for birth ;) It will mentally be easier!!