PHP doesn't have a LIMIT function. I presume you mean MySQL which has a proprietary LIMIT available for SQL.
That will find one record yes. It is the "first" by definition of your WHERE clauses and ORDER BY, but there is no logical assumption of "first" in a DBMS.
Since this hasn't really anything to do with PHP, I'll move this to the MySQL forum.
header('HTTP/1.1 420 Enhance Your Calm');