Anna Tuthill Symmes Harrison ( 1775 - 1864 ) was the wife of President William Henry Harrison . President Benjamin Harrison was her grandson . Anna Tuthill Symmes Harrison ( July 25 , 1775 - February 25 , 1864 ) , wife of President William Henry Harrison and grandmother of President Benjamin Harrison , was nominally First Lady of the United States during her husband 's one-month term in 1841 , but she never entered the White House .