  It is demonstrated that a Stueckelberg-type gauge theory, coupled to the
scalar-tensor theory of gravity, is invariant under both gauge and Weyl
transformations. Unlike the pure Stueckelberg theory, this coupled Lagrangian
has a genuine Weyl symmetry, with a non-vanishing current. The above is true in
the Jordan frame, whereas in the Einstein frame, the same theory manifests as
Proca theory in presence of pure gravity. It is found that broken scale
invariance leads to simultaneous spontaneous breaking of the gauge symmetry.
