It's a shame that Bette and Jason have never worked together in the comics. They may have never even met in-person before, oddly enough—at least in New Earth. It's possible she and Jason interacted in Prime Earth in the past when they were respective protégés of Batwoman and Batman at the same time, but that is information that would have to be noted to be considered canon.
I'm similarly unsure whether or not Flamebird and Huntress have ever interacted.
I don't recall whether I mentioned this when I gave you the list of Bette's appearances before, but you may want to read the "Titans Tomorrow" storyline in Teen Titans Vol 3 (2003 series). In that possible future, she is the new Batwoman. If the alternate realities/futures aren't your cup of tea, it's unnecessary to read it, as it doesn't affect her mainstream counterpart.
