Jack Daniels is a brand of whisky. Baileys is a brand of liqour, Irish cream to be exact (and the finest I've had). The two are different, and cannot be compared. Had she said Jameson or Johny Walker, then you could've suggested Jack Daniels was better, for you at least.I prefer Jack Daniels.
But I'm not really a whisky person. It's either wine, liqour or cheap vodka for me. After two dozen shots, it doesn't matter what quality it is.