Passenger list information is scantily recorded back then.

The 1810 census is a numerical one and only lists the head of household but there is a chance this could be your Thomas & Family in Franklin Virginia.
Name Thomas Vincent - Home in 1810 (City, County, State) Franklin, Virginia
Free White Persons - Males - Under 10 -- 2
Free White Persons - Males - 10 thru 15 - 1
Free White Persons - Males - 26 thru 44 - 1
Free White Persons - Females - Under 10 - 2
Free White Persons - Females - 10 thru 15 - 1
Free White Persons - Females - 26 thru 44 - 1
Number of Household Members Under 16 - 6
Number of Household Members Over 25 - 2
Number of Household Members 8
Sandra