Can a company force me to pay my elderly mothers bills?

No, you cannot be responsible unless you have co-signed.

No, unless you personally and freely agreed to pay your mother's bills before the bills were incurred.

This is something that you should discuss with a lawyer, but if you want to do the research there is a Federal statute called the Fair Debt Collection Practices Act which you can Google, and there is a provision in that Act about sending a certified letter to the collection agency which may be helpful to you. You should research this carefully if you don't want to consult with a lawyer since there are advantages and disadvantages to sending out the certified letter. Bankruptcy may also be an option for her if she meets the criteria for assistance from the bankruptcy court. I hope that you and you Mom feel better or at least don't have to deal with the stress of those calls in the future.

If you did not co-sign for any of your mother's financial obligations, you are not legally required to pay them.

Were you a cosigner on any of her debt? They cannot collect her bills from you unless you cosigned them and took on the liability.