O.K., I understand now. There are 10 different lines in the SHORT DNA project that have VA origins/connections. If you know someone from your line who might test and you do match one of those, it could narrow down which lines to examine for your William's parents.
Even if you don't know of someone who could test, please consider adding information on your line to:http://www.worldfamilies.net/forum/?topic=509
The information will be added to the Patriarch's Page:http://www.worldfamilies.net/surnames/short/pats
and allow others interested in your line to see that no one to date descended from it has tested.
SHORT DNA Group Coordinator