Kid,
Try this:
$mysqlHandle1 = mysql_pconnect( $HOSTNAME1, $USERNAME1, $PASSWORD1 );
$mysqlHandle2 = mysql_pconnect( $HOSTNAME2, $USERNAME2, $PASSWORD2 );
mysql_select_db("dbase_name",$mysqlHandle1);
$queryStr1="select * from whatever";
$result1=mysql_query($queryStr1);
mysql_select_db("dbase_name",$mysqlHandle2);
$queryStr2="select * from dummy";
$result2=mysql_query($queryStr2);
mysql_close($mysqlHandle1);
mysql_close ($mysqlHandle2);
Hope this makes sense.
Dik