"Each month the Current Employment Statistics (CES) program surveys about 141,000 businesses and government agencies, representing approximately 486,000 individual worksites, in order to provide detailed industry data on employment, hours, and earnings of workers on nonfarm payrolls."
Check out the news release for the Mid-Atlantic Region.
Also see the Fredericksburg, VA, figures in the tables for "Unemployment in the Washington Area by County – June 2016."
The U.S. Bureau of Labor Statistics (BLS) issues local area unemployment data. Look at the numbers for the state, counties and the two metropolitan areas associated with Washington Baltimore Arlington, DC-MD-VA-WV-PA Combined Statistical Area (CSA).
The Current Population Survey (CPS) is a statistical survey conducted by the U.S Census Bureau for the Bureau of Labor Statistics (BLS). The BLS uses the data to provide a monthly report on employment, the Employment Situation Summary, which provides estimates of the number of unemployed people in the United States. Annual estimates include employment and unemployment in large metropolitan areas.
The U.S. Bureau of Labor Statistics (BLS) issues Economic News Releases. This one relates to Metropolitan Area data on employment and unemployment. Mouse over the other tabs at the top of the BLS web page for information on other topics.
Do a Control F (Find Command) and search for the word "South" in the report to obtain data on this region.