I received this awhile back at the Toll Facility I work at here in Austin, TX. This anomaly does not appear to be from wear. The coin appears to have been struck through grease on the motto "In God We Trust" as well as the mint mark. (My understanding is that all quarters are supposed to have MMs since 1980). I have tried to find evidence of an obliterated mint mart or even a strong hint of one in the proximity of where it normally would be. If I summon my Pareidolia skills I can almost make out a mint mark. The reeding is quite good for this circulated coin. I have no idea who or why someone put the V3 (PMD) on the obverse to the right of Washington's bust. The scans were obtained using an HP7410 @ 600% magnification (both normal and negative.)
Would the rim of a planchet be affected if a coin is struck through grease? Just wondering, I don't know. It would seem to me that the strike would only affect the field, device, legend, etc. The rim on this coin seems to be weak in the same area where the motto is weak, which makes me think PMD. The "V" stamp showed up in this post too: http://www.cointalk.com/t119924/ If you click on "emilysmith08015" pic (on my browser it appears as a broken link), the quarter shows a very similar "V" on it.
Depends on how much grease, and whether the glob is just on the field or if it is on the edge of the die. If it overhangs the edge it will at least partially fill the "step" around the edge of the die that forms the rim.