Du anropar mysql_fetch_array två gånger... en gång före loopen och sedan en gång under looping.
Om du behöver en frörad för att bygga din rubrikrad kanske du är bättre betjänt av en do.. while loop här.
$query = "SELECT * FROM members";
$results = mysql_query($query);
$row = mysql_fetch_assoc($results);
//echo my <table> start and headings;
do
{
echo "<tr><td>".$row['Last Name']."</td>";
echo "<td>".$row['First Name']."</td>";
echo "<td>".$row['Middle Name']."</td>";
echo "<td>".$row['Sfx']."</td>";
echo "<td>".$row['Prf']."</td>";
echo "<td>".$row['Spouse/SO']."</td>";
echo "<td>".$row['Ancestor']."</td>";
echo "<td>".$row['Status']."</td>";
echo "<td>".$row['Address 1']."</td>";
echo "<td>".$row['Address 2']."</td>";
echo "<td>".$row['City']."</td>";
echo "<td>".$row['ST']."</td>";
echo "<td>".$row['Zip 5']."</td>";
echo "<td>".$row['Zip 4']."</td>";
echo "<td>".$row['Home Phone']."</td>";
echo '<td><a href="mywebsite/mypage.php?id=' . $row['id'] . '">Bio</a></td></tr>';
} while ($row = mysql_fetch_assoc($results));
echo "</table><hr>";