Just an update, hope this all makes sense.
I am at my mom's this weekend and my aunt (who lives next door) also got the same call from "Dish", but she doesn't actually have dish anymore. My Mom said they told her she needed to pay the $200 or they would shut it off. My Mom said she wasn't going to pay it, so they logged in to her account and paused her service. They gave her 2 phone numbers to call them back if she wanted it turned back on. She said she was going to call the 1-800 number on the TV and they said, "No, that is an old number that doesn't work anymore, you need to call these 2 numbers"
When she did call the 800 number (Actually Dish) that person said her account was paused.
SO, my understanding is that these scammer people did have her account info, and they logged in and paused her account, trying to get her to call them back and pay the $200. Instead she called Dish and they told her that she paused her account. Then Dish just un-paused it for her. Obviously we did go in and changed her password, not sure if there is much else we should do. So it really does sound like that scam I posted earlier.
It is one of our biggest fears is her getting scammed. We are constantly reminding her to be careful like this, so we are kinda proud that she didn't give them her CC info.