Does my mom still have control on who lives in a house if she no longer lives there but still has her name on the property and loan?

Of Course.

As long as she is paying the bills that keep her house over your head then she holds all the power. And until you are able to pay the mortgage it is her house, and you would be well advised not to give her any grief on the matter.

Remember, anyone who owns the property (no matter who they are), and pays all the bills has the final say about EVERYTHING. Period!

Now, go and give your mom a hug.