Your evidence for this is? I'm sure there was at least a dispensary or clinic in the Zone, and in fact on the naval base itself. In 1936, lots of babies were not born in hospitals. Doctors actually made house calls and delivered babies at home.
The hospital I was born in delivered no babies until after WW-II, just a few years before I was born. But they'd been in existence since somewhat before 1900.
BTW, did anyone think to ask McCain’s mother where he was born? She, unlike BHO’s grandma, was not kept under wraps, but actually made campaign appearances with her son.
My evidence? I was one of those born there 20 plus years later. If they didn’t have birthing facilities then, they sure didn’t have it in 1936.