Driven Out and Taken In
After the fall of Erebor and the tragedy of Azanulbizar, many dwarves have come to hate the line of Durin. After losing his grandfather, father, and siblings, all Thorin has left is his nephews, who are no more than toddlers. When the meddling wizard Gandalf comes to the rescue, he takes Thorin and his boys onto the backs of Eagles to a place far to the west, in a dainty place called the Shire. He leaves the line of Durin in the caring hands of Bilba Baggins, who has never had the heart to leave home since her mother's death.The strong, nurturing Hobbit and the pained, stubborn Dwarf are stuck with each other, raising two boys in the curious and not always kind eyes of the Shire.
tl;dr, Thorin and baby Durins go to Shire, fem!Bilbo is caring BAMF. Bring it on Lobelia.
From the Hobbit Meme