That is how I would expect the loop to act given the way it is coded.
If you are trying to show inside result records that are related to the currant outside result, you will need to add the recordset for inside results inside the outside results loop, before the inside results loop. For example:
<?php do { ?> <p><?php echo $row_rsMin['Title']; ?></p>
[-- Create rsSubmin Here --]
<?php do { ?>
<p><?php echo $row_rsSubmin['Title']; ?></p>
<?php } while ($row_rsSubmin = mysql_fetch_assoc($rsSubmin)); ?>
<?php } while ($row_rsMin = mysql_fetch_assoc($rsMin)); ?>