I dont have experience with that game, but...from this link
->
http://www.gamespot.com/snes/rpg/brainlord/
It says it is similar to ChronoTrigger, Final Fantasy IV, and Zelda: LTTP. SO I was partially right
This review from IGN
9.7 rating-
Brain Lord
EXCELENT adventure Game!!!!
By VideoGameKid11
This Review's Trust Rating: Unrated
July 9, 2004 - I got this game back years ago and I LOVED it. It's an excelent puzzle game that always keeps you thinking. But, it's not just puzzles, 75% of it is battles against tough enemies. Don't like the weapon you have? Don't worry, you can buy tons of different weapons like boomerangs, swords, maces, and a lot more. Keep getting killed? You don't have to worry about this, either. you can get a lot of different armor like chain mail, leather, helmets, and increase your HP. If you don't have a lot of time to play then don't get this, it takes HOURS to beat and i'm not exagerating. It took me around 9 or 10 hours to get about 96% through game but then i couldn't find the key to a door and i gave up. Now i got the game again and it seems even better now that i'm really paying attention. For a game meade in 1994 I thinks it's very good. Its a lot like megaman battle network for the GBA. The whole story is set in medieval times and people and dragons were partners until there was a big battle and most of the dragons died and the rest dissapeared and you have to find one, or a lot if theirs still any left (I don't want to ruin that part of the game) and you have to defeat the demon king and save the world.
Maybe that would help you see if it is like the GBA Final Fantasy game you're talking about?