If there is more equity than the allowable exemptions then if your mother files bankruptcy her half of the equity would have to be distributed to the creditors. As a result a bankruptcy is likely not the answer given that the house is owned free and clear.

As for transferring her name off the property, this is not a good idea. You are not permitted to transfer property in an attempt to organize your finances to the detriment of your creditors and the Bankruptcy & Insolvency Act is designed to prevent this from taking place.. This transfer would ultimately be reversed if a bankruptcy was filed, the funds would be distributed to the creditors anyway, and then your mother would have committed an offense under the Bankruptcy & Insolvency Act, and likely not be eligible for discharge.