Bilbo Baggins’s mother had the surname Took.
Bilbo’s mother was Belladonna Took, a member of the prominent Took family of the Shire. She married Bungo Baggins, and their son inherited both the respectable Baggins identity and the adventurous Took heritage.
This family background helps explain one of the central ideas in The Hobbit: Bilbo is outwardly a comfort-loving Hobbit, but he also possesses a family connection to a more adventurous tradition. Gandalf recognizes that side of his character and helps draw it out.
The Took name is sometimes confused with Brandybuck, another important Hobbit family connected to Frodo. The Sackville-Bagginses are also relatives of Bilbo, but they are associated with the Baggins branch and with their attempts to acquire Bag End.