Tales of Phantasia: Narikiri Dungeon

The story begins when what appears to be a shooting star lands in the mountains. The narrator describes the player (referred to in second person) finding a pair of twin babies in the light and becoming their adoptive parent. By default, the boy is named Dio and the girl is named Mel. Source: Wikipedia, "http://en.wikipedia.org/wiki/Tales_of_Phantasia:_Narikiri_Dungeon," available under the CC-BY-SA License.