  Using lattice QCD on a $16^{3}\times 24$ lattice at $\beta=6.0$, we examine
the elastic limit of charge overlap functions in the quenched approximation for
the pion and rho meson; results are compared to previous direct current
insertion calculations. A good signal is seen for the pion, but the electric
and magnetic rho meson results are considerably noisier. We find that the pion
and rho results are characterized by a monopole mass to rho mass ratio of
$0.97(8)$ and $0.73(10)$, respectively. Assuming the functional form of the
electric and magnetic form factors are the same, we also find a rho meson
g-factor of $g=2.25(34)$, consistent with the nonrelativistic quark model.
