I read a book with a female child character named "Bone" - I would
like to know the book title.  I can't remember which book I was
reading!

I am certain that you're thinking of "Bastard Out of Carolina," a
novel by Dorothy Allison whose main character is a young girl named
Bone.

Here's a brief description of the book:

At her birth in Greenville, South Carolina, Ruth Anne Boatwright is
nick-named Bone because she is so long and skinny. Because her Mama is
fifteen and single when Bone is born, a stamp in "oversized red-inked
block letters" reading "Illegitimate" blots the bottom of Bone's birth
certificate, and Bone's Mama never gives up her efforts to have this
stamp removed. The Boatwright family is large and stormy, especially
Bone's talented, handsome, hard-drinking, womanizing uncles. Granny
Boatwright and her daughters are known for how beautiful they used to
be, before too many children and not enough money carved deep lines
into their faces and bent their backs. Bone understands and supports
her Mama's desperate need for love until it leaves Bone with scars
that won't go away. Bastard Out of Carolina is an emotionally stunning
story of criminally familiar pain; of the strength and struggle it
takes to survive it; and of the importance of having at least one
person smart enough to tell you to "get out there and do things, girl.
Make people nervous and make your old aunt glad."

Amazon: Bastard Out of Carolina
http://www.amazon.com/exec/obidos/tg/stores/detail/-/books/0452269571/reviews/104-6018405-5353516#04522695717297

The book was made into a film in 1996:

Amazon: Bastard Out of Carolina, VHS
http://www.amazon.com/exec/obidos/tg/detail/-/6304385439/104-6018405-5353516?vi=glance

Google search strategy:

Google Web Search: "Bastard Out of Carolina"
://www.google.com/search?hl=en&ie=UTF-8&oe=UTF-8&q=%22bastard+out+of+carolina

If this is not the book you're looking for, please request
clarification before rating my answer. I'll be glad to resume the
quest.

Best wishes,
pinkfreud