Yeah, according to the narration, it is normal. Apparently they have a short cord to prevent strangulation in utero, but can survive up to twenty minutes inside after the cord snaps. Looks like mama elephant's labor was just over an hour. Nice!
Thanks for the link, Klines! DD loved seeing the baby born! (she was much more interested in the birth of the baby elephant than in the birth pics of baby humans that I tried to show her earlier... oh, well...

)