Yes I have except the second dragon was a 'dragon' not ancient or elder... so didn't make much of a difference. There was actually a third dragon in the distance circling a mountain,
Dawnstar?! hmmm... I see something in common between these attacks. Both the two dragon battles I fought were there. You looted their corpses as they died for you? How cruel! I guess the Dragonborn isn't as honourable as they like to imagine!