I keep getting billed after canceling

I called 2 months ago to cancel my services. Someone else is moved in at the address and they will have an account in their name. My first call I was told it would be cancelled and I'd get a prorated refund. A month later, I get another charge. I call and ask why it wasn't cancelled. They tell me the cancel order was stopped. No explanation. Then finally they agree to cancel and refund me a random amount of money which is close to the amount to should be getting back. Now, one month later, still charging me. I don't know what else to do. I contacted my credit card company and they stopped the charges on their end, but I'm still getting billed. now the Internet is out, because I haven't paid, yet someone else is paying the bill there, and they've made multiple payments at this point. How do I get this to stop? If I call again they just going to do the same thing. Lip service, no refunds, and still trying to charge me and get double the money from me and the other person who's now paying on a new account. Do I need an attorney?