An integral equation and method of moments/Green's function solution to the problem of scattering by a chiral cylinder of arbitrary cross section in the presence of a perfectly conducting half-plane is presented. The volume equivalence theorem for chiral media is used to formulate a pair of coupled vector integral equations for the equivalent electric and magnetic volume polarization currents representing the chiral cylinder. The presence of the half-plane is accounted for by including the half-plane Green's function in the kernel of the integral equations, and efficient techniques for accurately evaluating the integrals in this Green's function are presented. Numerical results illustrate that a chiral cylinder surrounding the half-plane edge can significantly modify the scattering from the edge. The chiral cylinder is also seen to produce significant cross-polarized scattered fields, which are a direct result of the rotation of field polarization in a chiral medium.