Do you mean the Fairfax County, Virginia Courthouse?
You gave no possible date for this will. No George Edward King is listed in the "Index to Fairfax Wills 1742-1855" by Ring.
A complete index for wills up to 1951 can be viewed on microfilm via Interlibrary Loan from the Library of Virginia.Fairfax Reed 36 contains: General Index to Wills 1, 1742 - 1855 and Index to Wills, Etc., 1855 - 1951. Once you have the book and page you can write to the courthouse for a copy.