  The primary goal of the GlueX experiment at Jefferson Lab is to search for
and map the spectrum of light hybrid mesons. Many experiments have studied and
reported evidence of exotic mesons decaying into $\eta\pi$ and $\eta'\pi$ final
states. With a large acceptance to both charged and neutral particles, GlueX
has access to both the neutral, $\gamma p\to\eta^{(')}\pi^{0}p$, and charged,
$\gamma p\to\eta^{(')}\pi^{-}\Delta^{++}$, exchanges. These proceedings will
give an overview of the current studies being performed at GlueX in
$\eta^{(')}\pi^{-}$ final states. It will discuss early physics goals and
outline the strategy for an amplitude analysis as GlueX begins its quest to
illuminate the light hybrid meson spectrum.
