I have to say thumbs-up to the EMTs who stayed to give fluids and O2!
I've attended and delivered at both mw-assisted and unassisted homebirths that have taken an unexpected turn. I think you can expect -- in most jurisdictions -- that if you call 911 in a medical emergency where children are involved (especially multiple infants!), you might have to have a plan for if the EMTs call CPS and/or the cops to enforce transport. Most EMTs freak out at the thought of homebirths, being that we end up assisting at spontaneous ones where the parents wanted an institutional birth or even CS. As well, in my region, I would be disciplined, if not stripped of my license, if I violated my protocol, which demands that I transport if certain risk factors are present.
I don't want to be alarmist ... on the contrary, I'm just suggesting that all families birthing at home would do well to have a good solid plan (in writing) and an articulate advocate on hand or available who is not directly involved in the birthing process (... other AP folk? Sister-in-law?)
And part of that plan would hopefully include your own, self-identified signals that it's time for transport.
That all said, blessings on you all for your homebirth choice! If I attended, I'd put on my pom-poms and be your cheerleader! Rah-rah, sisboombah, gooOOOoo mamas!
I wanted to chime in since I'm an EMT and DH is a paramedic. If EMS is called to the scene of your birth, regardless of who called, you have the absolute right (as long as you are conscious and coherent) to refuse treatment, transport, or both. In the above-mentioned scenario of receiving fluids and oxygen, they did allow for treatment but refused the transport part. Our trip reports have places to be signed and witnessed for these situations.
In our area, we would call the medical control doc and give report. Treatment such as O2 and fluids can be given per standing orders protocol prior to contacting medical control in most cases. The doc may ask to be put on speaker and speak directly to the parents concerning the situation, but the decision about treatment and transport ultimately is in the hands of the mother and father. DH and I both cannot recall any EMS personnel calling CPS ever in our experience for something like this (he's got 15 yrs full-time and I've volunteered for almost 20 yrs now).
One common situation where we treat but do not transport involves hypoglycemia. We arrive and the patient is very incoherent or unconscious, and we follow protocols to immediately administer glucose. The patient generally comes around very quickly and then feels fine and does not want to go to the hospital. Of course we try to convince them to go and the doc on medical control tries to convince them as well, but many of those patients simply "sign off" and we leave after providing the treatment.
Both DH and I have been called to homebirth and UC very rarely over the years, but we were always called for good reason and the parents wanted us there, so no problems at all. DH just was called to a homebirth last month, but only because baby was a 35 weeker and needed transport.
Hope that helps!