Claudia, Try a Rawley Brim, married Elizabeth Asher 5-7-1794. There is a Joseph married Nancy Vernon 12-13-1834. There is a William married Sally Ann King 8-10-1820. There is a will for a Richard Brim died 1838 but only daughters are named. The Elizabeth in your census data is about right to the the Elizabeth above. Do not have the Heritage Book to check. No Brims in my Early Familes vols. Robin Taylor