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Ginji is her big brother, he is a pilot too. He is first seen after you save him from falling to his death in the Albiore I in the Meggiora Highlands.
Iemon is her grandfather, his name is not Lemon like some people think.
He, along with Aston and Tamara, created the Albiore I and II. Together, the three of them are well-known as Sheridan's Class M by fon machine fanatics like Guy, and are well-known for their rivaly with Belkend's Class I, Hencken, Spinoza, and Cathy.
Unfortunately, Noelle's emotions weren't really highlighted after the Sheridan Massacre before neutralizing the core with the Tartarus in either the game or the anime. She was most likely devastated by the loss.