Have you tried this
<?
$conn1=mysql_connect($host,$user,$pass);
$conn2=mysql_connect($host,$user,$pass);
$db1=mysql_select_db($database1,$conn1);
$db2=mysql_select_db($database2,$conn2);
$result1=mysql_query($query1,$conn1);
$result2=mysql_query($query2,$conn2);
?>
I don't know if this works but try it and see.
HTH
Rob