I don't have brave sword+, but she can attack 4 times with her regural weapon so I guess she can hit 8 times.
Edit: I gave her a brave sword from an ogma and this is the result: The skills don't seem to stack
I really doubt that man. Do you know how broken that would be? Add desperation to the mix and no unit in the game (except those high def blue unit) will survive an attack from her before they can retaliate.
She can't hold Desperation and Double Lion at the same time, so she has to take a hit. And Double Lion requires you to be at full HP so it's not broken.