Ah alright.  Well the most my gals know about the League comes from Artemis's sister, Jade, also known as Cheshire.  Lawrence/Sportsmaster, and Artemis's father, went freelance, but he likely still talks to the less rigid of the League of Shadows members for the occasional job, but Nhyssa might have him beheaded the first chance she gets lol.  M'gann knows about them from Artemis, so it's second hand knowledge at best save for when they've run into the assassins themselves of course.  But the fact Jason's come back to life puts truth to the 'legend' of the Lazarus Pits.