Hi, I'm so sorry your mother is in such serious condition. Is she intubated on a respirator (temporary life support) or does she have a tracheostomy with portable respirator? If it is the latter, when she heals from the surgery, travel in some form should be possible given sufficient care in transit, which your father and other family members could perform if given training, or a nurse could be hired to assist. Not easy, but I think it would be possible.
If she is intubated, I do not know what would be necessary for travel, perhaps the ambulance as you were told. If that is so, and your mom does not wish to have the tracheostomy with ventilator, you may all wish to get to where she is as fast as possible.
My prayers are with you as you go through this difficult time. I wish peace and strength for your mother and father whatever happens.
Holly