  In this short note we shall demonstrate that given a smooth solution $\gamma$
to the linearised Einstein equations on Schwarzschild which is supported on the
$l\geq 2$ spherical harmonics and expressed relative to a transverse and
traceless gauge then one can construct from it a smooth solution to the sourced
Maxwell equations expressed relative to a generalised Lorentz gauge. Here the
Maxwell current is constructed from those gauge-invariant combinations of the
components of $\gamma$ which are determined by solutions to the Regge--Wheeler
and Zerilli equations. The result thus provides an elegant link between the
spin 1 and spin 2 equations on Schwarzschild.
