  In this paper, we study two-dimensional traveling waves in finite-depth water
that are acted upon solely by gravity. We prove that, for any supercritical
Froude number (non-dimensionalized wave speed), there exists a continuous
one-parameter family $\mathcal{C}$ of solitary waves in equilibrium with a
submerged point vortex. This family bifurcates from an irrotational uniform
flow, and, at least for large Froude numbers, extends up to the development of
a surface singularity. These are the first rigorously constructed gravity
wave-borne point vortices without surface tension, and notably our formulation
allows the free surface to be overhanging. We also provide a numerical
bifurcation study of traveling periodic gravity waves with submerged point
vortices, which strongly suggests that some of these waves indeed overturn.
Finally, we prove that at generic solutions on $\mathcal{C}$ $\unicode{x2013}$
including those that are large amplitude or even overhanging $\unicode{x2013}$
the point vortex can be desingularized to obtain solitary waves with a
submerged hollow vortex. Physically, these can be thought of as traveling waves
carrying spinning bubbles of air.
