The identity of the persistent EGRET sources in the Galactic plane is largely a mystery. For one of these, 3EG J2227]6122, our complete census of X-ray and radio sources in its error circle reveals a remarkable superposition of an incomplete radio shell with a Ñat radio spectrum and a compact, powerlaw X-ray source with photon index ! \ 1.5 and with no obvious optical counterpart. The radio shell is polarized at a level of^25%. The anomalous properties of the radio source prevent us from deriving a completely satisfactory theory as to its nature. Nevertheless, using data from ROSAT , ASCA, the VLA, and optical imaging and spectroscopy, we argue that the X-ray source may be a young pulsar with an associated wind-blown bubble or bow-shock nebula and an example of the class of radio-quiet pulsars that are hypothesized to comprise the majority of EGRET sources in the Galaxy. The distance to this source can be estimated from its X-ray absorption as 3 kpc. At this distance, the X-ray and c-ray luminosities would be B1.7 ] 1033 and B3.7 ] 1035 ergs s~1, respectively, which would require an energetic pulsar to power them. If, on the contrary, this X-ray source is not the counterpart of 3EG J2227]6122, then by process of elimination the X-ray luminosity of the latter must be less than 10~4 of its c-ray luminosity, a condition not satisÐed by any established class of c-ray source counterpart. This would require the existence of at least a quantitatively new type of EGRET source, as has been suggested in studies of other EGRET Ðelds.