What do the children with Barber furniture in To Kill a Mockingbird?

There's a slight misunderstanding in your question. In Harper Lee's "To Kill a Mockingbird," there's no mention of "Barber furniture." It's possible you're thinking of another detail from the book.

Do you perhaps mean:

* The children with the "Finch" furniture? The Finch family, including Scout, Jem, and Dill, own a set of "Finch" furniture that has been passed down through generations. It includes a sturdy, old sofa and other pieces.

* The children with the "Radley" furniture? The Radley family, who live in a mysterious and isolated house, are known for their strange behavior and the lack of interaction with the community. There is no mention of any specific furniture associated with them.

Could you please clarify your question so I can provide a better answer?