Unauthorized debits

This so called company debited my account without my consent or authorization when i called them i got through to a lady called Zelda who emmediatly said we apologize we will refund you i must just provide my name and cell phone number.. how the hell are they gona do that without my bank details??? I did not give it to them in the first place when i asked where they got my details she says from the National Consumer Database... Now who gave them the right to take my details in the first place?? This database is ruining us because they are giving people personal information.. so this Zelda person puts me on hold and leaves me hanging.. i call again and she answers i ask for a supervisor she sends me from piller to post until another lady comes by the name of ayanda.. i ask her the same things i been asking she too cant provide me proof that i authorized any transaction with them i requested a refund but im still waiting for it because they debited my account 3 times with the amount of 129 this is not right at all we are not safe