Op, it looks like you need to get the title first, via mail, drop off, or appointment.
Here is the titling info:
https://www.dmv.virginia.gov/vehicles/#titling.asp
Here is the registration info:
https://www.dmv.virginia.gov/vehicles/#vehiclereg.asp
The car will need to have passed emissions inspection and insurance before registration will be complete.
Also look at this link - appears you can do it all by mail:
https://www.dmv.virginia.gov/vehicles/#title_mail.asp