We describe new optical images and spectra of POX 52, a dwarf galaxy with an active nucleus that was originally detected in the POX objective-prism survey. While POX 52 was originally thought to be a Seyfert 2 galaxy, the new data reveal an emission-line spectrum very similar to that of the dwarf Seyfert 1 galaxy NGC 4395, with broad components to the permitted line profiles, and we classify POX 52 as a Seyfert 1 galaxy. The host galaxy appears to be a dwarf elliptical, and its brightness profile is best fit by a Sersic model with an index of 3.6+/-0.2 and a total magnitude of M_V = -17.6. Applying mass-luminosity-linewidth scaling relations to estimate the black hole mass from the broad H-beta linewidth and nonstellar continuum luminosity, we find M_BH ~ 1.6x10^5 solar masses. The stellar velocity dispersion in the host galaxy, measured from the Ca II 8498, 8542 Angstrom lines, is 36+/-5 km/s, also suggestive of a black hole mass of order 10^5 solar masses. Further searches for active nuclei in dwarf galaxies can provide unique constraints on the demographics of black holes in the mass range below 10^6 solar masses.