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It sounds like you've found a Virginia
Statehood Quarter. This is a series that has been in production since 1999 with 5 states per year being released.
The obverse (front) and reverse (back) orientation is opposite. They are made this way and it is not an error.
Here is the order of release of the quarters:
1999:
Delaware, Pennsylvania, New Jersey,k Georgia, and Connecticut
2000:
Massachusetts, Maryland, South Carolina, New Hampshire, and Virginia
2001:
New York, North Carolina, Rhode Island, Vermont, and Kentucky
2002:
Tennessee, Ohio, Louisiana, Indiana, and Mississippi
2003:
Illinois, Alabama, Maine, Missouri, and Arkansas
2004:
Michigan, Florida, Texas, Iowa, and Wisconsin
2005:
California, Minnesota, Oregon, Kansas, and West Virginia
Future Releases:
2006:
Nevada, Nebraska, Colorado, North Dakota, and South Dakota
2007:
Montana, Washington, Idaho, Wyoming, and Utah
2008:
Oklahoma, New Mexico, Arizona, Alaska, and Hawaii