Similarly to the behaviour described by cptnemo this function returns only the name of the first table when you use a JOIN.
For example with the query below the table name would be table1 for all fields:
SELECT table1.*, table2.this_thing, table3.that_thing FROM table1 LEFT JOIN table2 ON table1.tb2_id = table2.id LEFT JOIN table3 ON table1.tb3_id = table3.id
The expected behaviour would be, that the table name for the field this_thing is table2 and table3 for the field that_thing respectively.
mysql_field_seek