Found some great web sites that helped.
http://www.nps.gov/archive/frsp/vc.htmhttp://www.nps.gov/frsp/index.htmFor information about the Fredericksburg and Spotsylvania National Military Park Boy scout Hiking Trails contact
Fredericksburg Visitor Center
706 Caroline Street
Fredsricksburgm, VA 22401
1-800-678-4748
or
Scout Troop 847,
% Tabernacle United Methodist Church,
7310-A Old Plank Road,
Fredericksburg, Va. 22401.
I called the visitor center and received the information about the battlefields and how to earn the patch in a few days. I also received information from the scout troop but it took a few weeks.
There is another hike in downtown Fredericksburg called "The Fredericksburg, Virginia Historical Trail" which has in own patch. Both the troop and the visitor center has information about this trail too.