Brillouin laser light scattering spectra of hexagonal boron nitride were measured in its pure form as well as with zero-valent copper, gold, and silver intercalants including one sample co-intercalated with copper and silver. Up to four of the five independent elastic stiffness constants were determined along with the associated sound velocities for the five distinct materials. Intercalation radically changes the optical color of the boron nitride. Brillouin scattering measurements show almost no change in the ${c}_{33}$ out-of-plane elastic stiffness and the ${c}_{66}$ in-plane shear modulus, while the ${c}_{11}$ in-plane stiffness increases by roughly 100 GPa with copper-silver co-intercalation and decreases by roughly 30 GPa with silver intercalation. The results lie within the broad range of literature values for ${c}_{11},$ ${c}_{33},$ and ${c}_{44}$ but differ substantially for ${c}_{66}$.