  Generalizing work of Haydys and Hitchin, we prove the existence of a
hyperholomorphic line bundle on certain hyperk\"ahler manifolds that do not
necessarily admit an $S^1$ action. As examples, we consider the moduli space of
(non-strongly) parabolic Higgs bundles, the moduli space of solutions to Nahm's
equations, and Nakajima quiver varieties.
