  The Weyl double copy is a relationship between classical solutions in gauge
and gravity theories, and has previously been applied to vacuum solutions in
both General Relativity and its generalisations. There have also been
suggestions that the Weyl double copy should extend to solutions with
non-trivial sources. In this paper, we provide a systematic derivation of
sourced Weyl double copy formulae, using spinorial methods previously
established for ${\cal N}=0$ supergravity. As a cross-check, we rederive the
same formulae using a tensorial approach, which then allows us to extend our
arguments to sources containing arbitrary powers of the inverse radial
coordinate. We also generalise our results to include the Kerr-Newman black
hole, clarifying previous alternative double copy formulae presented in the
literature. Our results extend the validity of the Weyl double copy, and may be
useful for further astrophysical applications of this correspondence.
