When a dragon begins a rampage it is usually about to lay eggs. These eggs are well protected by dragons and/or dragon cultists as they are extremely vulnerable.
Locations[]
Dragon Age: Origins[]
Several eggs can be found in the Mountainside Caverns and in one of them, the Warden can loot the Lifedrinker amulet.
Dragon Age: Origins - Awakening[]
Several eggs can also be found in the Silverite Mine protected by the Hurlock Dragon-Tamer.