Faile is Davram's heir. If Saldaean law does not allow for male succession, Faile herself is Tenobia's heir.

There's a theory that eventually Perrin will end up akin to Saldaean royalty through Faile, which seems quite plausable - all to do with Min's viewings.

Perrin's viewing of "A wolf, and a broken crown, and trees flowering all around him."

Coupled with Bashere's viewing being "And there's something...dark...in the images I saw around Lord Davram." Which doesn't sound particularly pleasant... It could of course be anything though!

As to the story behind the Broken Crown... I have no idea, and have always wondered about the story behind it.