In our family, the William Hughes Clark family Bible went to the oldest daughter in each generation, mainly because it seemed as if the women were more interested in the family genealogy & making the notations in the Bible. The only exception was that my father kept the Bible updated.
After my father's death, my older sister had possession of the family Bible but now that she's in the mid-stages of Alzheimer disease, I, the younger daughter, was given possession of ALL the family artifacts. And trust me, my ancestors were genealogical hoarders!
I, in turn, will pass the Bible down to my older daughter because she's the one interested in the family history. It's no use giving it to someone who is like Rhett Butler and can't really give a damn about the family history because that is a sure way to make sure the Bible gets lost due to lack-of-interest!