Thanks to silverfox3280 for his excellent and detailed description. However my experience does not correspond to his, or possibly we are misunderstanding each other.
The Extended Family Chart may pick up everyone RELATED to a particular person, but it definitely does not pick up everyone CONNECTED to that person. My connections include ancestors and descendants of spouses of my direct ancestors, and their spouses.
After working through the process I was left with multiple "islands" who had not been removed, so I spent very many hours last night doing this manually, based either on name or location (my wife and I were born in different countries, and so were most of our relatives). However I am still coming across individuals whom I missed in the first run through.
Reading through other threads here, I gather that this is a known difficulty, and that there is no real solution. Some posts mentioned using external software to dissect ged files, but these are advertised as running under Windows 95, so I would not trust such ancient technology. Some of my relatives are much younger!
My interest in a solution is now only theoretical, as I have the one-time exercise behind me (I sincerely hope!). But does a seemingly simple objective really have to be so difficult to achieve?