in the code you posted i cannot see where the
$row_Recordset1['xxx'];
is set, and why you call it here,
mysql_fetch_assoc($Recordset1)
this should be used before you call the value,
<table border="1" align="center">
<tr>
<th>Name</th>
</tr>
<?php
$row_Recordset1 = mysql_fetch_assoc($Recordset1);
do { ?>
<tr>
<?php if(!isset($_POST['Submit'])){?>
<td><?php echo $row_Recordset1['porto_name']; ?></td>
<?php }else{?>
<td><input type=text value=<?php echo $row_Recordset1['porto_name']; ?> /></td>
<?php }?>
<td><input name="Submit" type="submit" value="edit"></td>
<td><a href="portofolio_delete.php?porto_ID=<?php echo $row_Recordset1['porto_ID']; ?>">Delete</a></td>
</tr>
</table>