  We argue that an experimental search for an $\eta_c'$, the first radial
excitation of the $\eta_c(2980)$, may be carried out using the two photon
process $e^+e^- \to e^+e^- \gamma \gamma \ra e^+e^-\eta_c'$. We estimate the
partial width $\Gamma_{\gamma \gamma}(\eta_c')$ and the branching fraction
$B(\eta_c' \to h)$, where $h$ is an exclusive hadronic channel, and find that
for $h = K^o_s K^\pm \pi^\mp$ it may be possible to observe this state in two
photon collisions at CLEO-II.
