White Knight is definitely a very interesting story! If you want to talk about it with us, we also covered it a while back here:
As for Batwoman, there a couple different versions, but the one who probably has the most stuff and is now most associated with the character is Kate Kane, cousin of Bruce Wayne, former Army cadet who was discharged due to Don’t Ask, Don’t Tell, who picked up Batman’s crusade against crime in her own unique way. If you want to read more, I would most recommend the Greg Rucka run on Detective Comics starring her, and the James Tynion IV’s run of Detective Comics, which featured both her and Batman teaching the younger generation of Gotham heroes.