I am all for home birth definately but free birthing can be dangerous. Google what happened to one of the largest advocates of free birthing in Australia Janet Fraser.

As for the paper work that can be difficult. Not sure how you get your birth certificate and medicare forms etc as the midwife at your babies birth is the one to sign it and not sure how you go about proving you birthed your bub etc. I know a friend who had an unintentional birth at home and it took her months to get her money for bub as she was alone.
Hmm... so you know of a friend personally who had a freebirth with no problems yet you suggest googling a person who it didn't go so well for? I could also suggest googling all the women who have lost their babies in hospital. Death is sometimes a very unfortunate fact of birth.

As Alan mentioned, there is a lot more a birthing baby may need than is covered in a first aid course. Hence why midwives have all that training. Perhaps you could call the ambulance for medical backup once you are getting close?