I am tumbling to the fact that these End Fed Half Wave antennas (or EFHW as they are called) are a shockingly neat little concept for folks that like to operate afield. Gil, F4WBY, in France, explains it best:
..and I am too tired to write up more; will do it later. But here are some shots of my first attempts at building the transformer and some testing I was doing. At this point I do not know my ass from a bowling ball. Will get back to you when I do!