  We compare the stellar structure of the isolated, Local Group dwarf galaxy
Pegasus (DDO216) with low resolution HI maps from Young et al. (2003). Our
comparison reveals that Pegasus displays the characteristic morphology of ram
pressure stripping; in particular, the HI has a ``cometary'' appearance which
is not reflected in the regular, elliptical distribution of the stars. This is
the first time this phenomenon has been observed in an isolated Local Group
galaxy. The density of the medium required to ram pressure strip Pegasus is at
least $10^{-5} - 10^{-6}$, cm$^{-3}$. We conclude that this is strong evidence
for an inter-galactic medium associated with the Local Group.
