Since each of the three magical deer in "Best Gift Ever" correspond to each point of time, I thought of the Three Fates of Greek mythology when I heard their explanation.
Aurora (the past) would be Clotho, the weaver of birth; Bori (the present) would be Lachesis, who shows how long each section will be (measured in years); and Alice (the future) would be Atropos, shooting at threads to cut them into strings to be woven into a tapestry later.