  We study intersecting brane systems that realize a class of singular monopole
configurations in four-dimensional Yang-Mills-Higgs theory. Singular monopoles
are solutions to the Bogomolny equation on R^3 with a prescribed number of
singularities corresponding to the insertion of 't Hooft defects. We use the
brane construction to motivate a recent conjecture on the conditions for which
the moduli space of solutions is non-empty. We also show how branes provide
physical intuition for various aspects of the dimension formula derived in
{arXiv:1404.5616}, including the contribution to the dimension from the defects
and its invariance under Weyl reflections of the 't Hooft charges. Along the
way we uncover and illustrate new dynamical phenomena for the brane systems,
including a description of smooth monopole extraction and bubbling from 't
Hooft defects.
