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I am sorry to hear about this situation.
If the contract is in her name, then she is liable and her estate is - but you are not, arguably. You signed as her court-authorized conservator, meaning you acted as her agent.
Generally speaking, a duly lawful representative/agent is not liable for the contracts that they sign on behalf of the principal.
Ergo, one wants to send them a letter (if the telephone conversations have run to a stand still) stating as such, and threatening a suit for defamation and malicious prosecution/abuse of process if they try to file a lawsuit against the conservator (i.e. you), and/or a suit under Fair Credit Reporting Act/defamation if they try to place this on one's credit.
They can enforce the debt against her estate. However, not against the conservator.
Let me know if you need a sample letter.
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