  The Cabling Conjecture states that surgery on hyperbolic knots in $S^3$ never
produces reducible manifolds. In contrast, there do exist hyperbolic knots in
some lens spaces with non-prime surgeries. Baker constructed a family of such
hyperbolic knots and posed a conjecture that his examples encompass all
hyperbolic knots in lens spaces with non-prime surgeries. Using the idea of
seiferters we construct a counterexample to this conjecture. In the process of
construction, we also derive an obstruction for a small Seifert fibred space to
be obtainable by a surgery with a seiferter.
