That is a wonderful birth story! Your doula-turned-midwife sounds great. I love that she was extra careful to keep the mood relaxed and let you finish having the beautiful birth experience she saw unfolding. I also love that the hospital staff didn't pressure you to go in and be checked. That is awesome!
My second was born under similar circumstances, same crazy time frame and disbelief, except my audience was encircling the bathroom sink, rather than the toilet.
How is DS1 taking to his new brother?