Target Single-Spin Asymmetry Measurements in Quasi-Elastic $^{3}$He$\uparrow$(e, e$'$)

The target single-spin asymmetry for the neutron, $A_{y}$, was measured using the inclusive quasi-elastic $^{3}$He$\uparrow$(e, e$'$) reaction in Hall A at Jefferson Lab with a vertically polarized $^{3}$He target for $Q^{2}$ = 0.13, 0.46 and 0.97 GeV$^{2}$. Since the target single-spin asymmetry is expected to be zero in the one-photon exchange approximation, the non-zero results from this experiment clearly demonstrate the effects due to two-photon exchange. They establish the two-photon exchange process as a powerful tool to probe hadron structure, such as information on Generalized Parton Distributions. The ongoing analysis of this experiment will be presented.