  QCD Laplace sum-rules are used to calculate axial vector $(J^{PC}=1^{++})$
charmonium and bottomonium hybrid masses. Previous sum-rule studies of axial
vector heavy quark hybrids did not include the dimension-six gluon condensate,
which has been shown to be important in the $1^{--}$ and $0^{-+}$ channels. An
updated analysis of axial vector heavy quark hybrids is performed, including
the effects of the dimension-six gluon condensate, yielding mass predictions of
5.13 GeV for hybrid charmonium and 11.32 GeV for hybrid bottomonium. The
charmonium hybrid mass prediction disfavours a hybrid interpretation of the
X(3872), if it has $J^{PC}=1^{++}$, in agreement with the findings of other
theoretical approaches. It is noted that QCD sum-rule results for the $1^{--}$,
$0^{-+}$ and $1^{++}$ channels are in qualitative agreement with the charmonium
hybrid multiplet structure observed in recent lattice calculations.
