Height corresponds to age, with median, range and 95% HPD just what they
say,but 'height' alone is the age of the node for the particular tree you
are examining and depends on the choice you make in TreeAnnotator. If you
had chosen to produce a tree using median heights then this would be the
same as height_median, however given your choice there's a good chance that
its different.
'Length' is length of a single branch, and may or may not correspond to
height as several branches may contribute to the height.
I hope that helps.
Suzanne