Trying to Connect to different database

I’m looking at wp-db.php and see:

1384                            if ( $this->dbh->connect_errno ) {
1385                                    $this->dbh = null;

This is in the class function db_connect(), which is called by the wpdb constructor. In the latest error you describe:

Warning: mysql_error() expects parameter 1 to be resource, boolean given

we can see that mysql_error() is not receiving the appropriate argument. This argument comes into play here:

1211            public function print_error( $str="" ) {
1212                    global $EZSQL_ERROR;
1213    
1214                    if ( !$str ) {
1215                            if ( $this->use_mysqli ) {
1216                                    $str = mysqli_error( $this->dbh );
1217                            } else {
1218                                    $str = mysql_error( $this->dbh );
1219                            }
1220                    }

Note lines 1216 and 1218 (it differs based on whether you use mysqli extension). The argument it is passing in is your MySQL connection resource, which as seen on 1384-1385 is not defined correctly if there is a MySQL connection issue. This will make it difficult to trace the error at the point you’re doing so from, but at least now you know it’s an issue with the connection.

As @s_ha_dum indicated, you should verify your connection information to ensure that you’re able to connect. If you have WP_DEBUG set to false, the mysql_connect() (lines 1409, 1411) and mysqli_real_connect() (lines 1379, 1381) are run with the @ prefix that suppresses errors. Enable WP_DEBUG and you should receive error text for these lines, if that is indeed where the problem lies.