Tom, K0TAR wrote:
"Of course that still means thery aren`t resonant aince you just
displaced the "center" of the element."

Kraus describes adjustment of the phase between driven and parasitic
elements on page 320 of his 1950 edition of "Antennas":

"The parasitic element may have a fixed length of 1/2 wavelength, the
tuning being accomplished by inserting a lumped reactance in series with
the antenna at its center point."

In my case, the "lumped reactance" was a tuned stub adjusted to the
desired phase difference between parasitic and driven elements as
indicated by an RCA WM-30A phase monitor.

Best regards, Richard Harrison, KB5WZI