  We consider lepton pair production via two-hadron annihilation through
various isoscalar vector mesons within hot, baryon-free matter. This is
tantamount to constructing effective form factors which we model using a
vector-meson-dominance approach and compare with experiment. In particular, we
consider the reactions $\pi\rho\to e^+e^-$ and $\bar K K^{*}(892)$ + c.c. $\to
e^+e^-$. We find that $\omega(1390)$ and $\phi(1680)$ are visible in the mass
spectrum for the thermal production rate above the $\pi^{+}\pi^{-} \to e^+e^-$
tail and even above the $\pi a_{1}\to e^+e^-$ results---both of which were
considered important in their respective mass regions.
