Hannah Burley was a recurring character in Season 6 of Bones. She was Booth's girlfriend and a journalist he met in Afghanistan. The two mostly were a rebound relationship, but Booth did ultimately care for her.
Hannah: I have two Peabody's, a National Press Award, and I have been wounded three times getting stories. I kicked Christiane Amanpour's ass!
Booth meets Hannah in Afghanistan after saving her from a situation with terrorists. Since Booth had been rejected by Brennan in Season 5, the two form a bond and start a relationship. Booth tells Brennan that their relationship is as "serious as a heart attack" and that he's in love with her. Hannah transfers to D.C. and moves in with Booth, even meeting his son and becoming friends with Bones. Although Bones has lingering feelings for Booth, she tries to be happy for their relationship and maintains her friendship with Hannah. Booth, however, tends to push the relationship along faster than Hannah is comfortable with, from presenting her with a key to his apartment the moment she arrives in his office to brushing aside her concerns about whether Parker will like her on the grounds that she gets on with everyone.
In The Daredevil in the Mold, during a drunken state Booth and Sweets decide to buy their girlfriends rings to prove their love for them. However, when reality sets, Sweets is ultimately unsure and backs away. Booth, however, feels very confident that he loves her and wants to have a committed relationship. Hannah gently rejects Booth, telling him that she's not the marrying kind, and Booth breaks up with her. She decides to move out of his apartment and reluctantly accepted the break up.