I'm on the quest for Azura where she asks me to go to Ald Redayna and kill the daedra there w/o harming it's inhabitant. She also wants proof. I took a Vampiric Ring from a Skeleton Sorceror. Is that right If so, what is the reward for the quest?

note something simmilar is being answered, but you go to the oath of silence lady's island (NEAR ald redaynia) and kill the daedra there trying to corupt her. then, you bring Sheogorath's Signet Ring back to the shrine of Azura. the vampiric ring is yours to keep.

And keep the Bitter Cup from Ald Redanyia, too, if you intend to do the all the thieve's guild quests. The island you need is second from the right in the top row of four as you look at the map. And please use the search button in future as this has been asked before.