If you mother has no assets worth more than $2,000, Medicaid should be paying her nursing home bills. She should also be receiving either Social Security income or Supplemental Security income. That income will be required by Medicaid to go to pay her "share of cost" for the nursing home. If that's not the case, then an Elder Law consultation makes sense (an Elder Law attorney may be able to help your mom qualify for Medicaid while preserving whatever assets she has).
Since this leaves her with no disposable income and no assets, the creditors are out of luck. You could file bankruptcy in her name but it might be easier just to change your phone number and hers so that they can't bother either one of you. Throw the bills away.
Be aware, however, that one or more of them could file suit. The best defense in that case would be bankruptcy.
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