They just need time to get a grip on life. She was very strong after she was born.
Once she nurses and gets her tummy filled she just crashes and burns. You are right that she is out cold.
She is not a fainter, just underbaked and need a bit more time to get her land legs.
She did not keep up with her dams milk production today and had dried milk all over her muzzle this evening. She was not fond of my washing it off either! :-)
She will be in there a while so she should be quite entertaining to watch!
She was obviously in a hurry to get out! :D