  We make the first calculation of the electroweak couplings of hybrid mesons
to conventional mesons appropriate to photoproduction and to the decays of $B$
or $D$ mesons. $E1$ amplitudes are found to be large and may contribute in
charge exchange $\gamma p \to n H^+$ allowing production of (amongst others)
the charged $1^{-+}$ exotic hybrid off $a_2$ exchange. Axial hybrid meson
photoproduction is predicted to be large courtesy of $\pi$ exchange, and its
strange hybrid counterpart is predicted in $B \to \psi K_H(1^+)$ with $b.r.
\sim 10^{-4}$. Higher multipoles, and some implications for hybrid charmonium
are briefly discussed.
