I must be away from my Computer this AM, but may I suggest you contact Richmond Historical Society for Edmund in Caroline
County. Do you have an LDS in your area? They may be able to get you a copy of the Virginia census index for 1830 &40. This will show all persons living in Va in 1830 & 40. Maybe your Lauson/Lawsons didn't come till 183?.
I can do this but it will take a couple of weeks to get the films .