Just a note that this means an actual Lady, as in a Countess or Baroness or the like.
More to the point, it's a compound of 'ban' (woman) + 'tiarna' (lord), and while grammatically masculine (4th declension), it's treated as feminine.
Is the eclipsis on mbantiarna the Ulster way, or the Munster+Connacht way? Would the other option be to lenite?
The Ulster way would be to lenite after ag an.
" ... which she distributes to the poor every Thursday. "
So that's why she doesn't run?
In modern Irish doesn't it mean landlady?