How we cite our quotes: (Chapter.Narrator.Paragraph)
Quote #1
When at last she slept, she dreamed of home. The kingsroad wound its way past Winterfell on its way to the Wall, and Yoren had promised he'd leave her there with no one any wiser about who she'd been. She yearned to see her mother again, and Robb and Bran and Rickon… but it was Jon Snow she thought of most. (2.Arya.44)
Arya's entire story is centered on two conflicts: First, she needs to survive; second, she wants to return to her family. For Arya, family is not just a source of comfort and support. It's also a means of survival since she's, like, ten years old.
Quote #2
Do they miss their brothers and sisters, too? Bran wondered. Are they calling to Grey Wind and Ghost, to Nymeria and Lady's Shade? Do they want them to come home and be a pack together? (5.Bran.4)
Actually, it's not just Arya. The war between the Starks and Lannisters stems from both families wanting to reunite their families. Heck, even the Stark direwolves can't keep it together. The family structure is simply doomed in the Seven Kingdoms.
Quote #3
Her brother Viserys, Khal Drogo who was her sun-and-stars, even her unborn son, the gods had claimed them all. They will not have my dragons, Dany vowed. They will not. (13.Dany.17)
Family is so important to most characters that when they lose one, they often create a surrogate family to compensate. Dany names her dragons after members of her family, symbolizing the role they are filling. This surrogate family is very similar to Jon Snow's relation with the Night's Watch.