Can I still live in a home that the owner filed bankruptcy on?

Doubtful, unless you buy it from her. If you make the mortgage payments to the creditor, it remains the owner's property. Her lawyer could give her a more precise answer on your behalf based on the particular circumstances, if the owner is willing to do this.

When a bankruptcy is filed the debtor can decide to keep or give up property such as a mobile home. If the property is surrendered the lender decides whether to keep the tenants or not. You should continue making payments to the lender or set aside the payments in a special bank account until it is decided who is entitled to them. Be sure to communicate what you are doing with the lender. Also, the bankruptcy trustee may tell you what to do with the rent payments.

Per your stated facts: if the owner is not surrendering the home to the lienholder, and payments are current, then the bankruptcy does not effect a material change to your circumstances. Note, a property can be surrendered to a lienholder within the context of chapter 13, however, there is no liquidation by a trustee in chapter 13.

Unless they retain the home in Chapter 13, no. You need to plan to move. You may have some limited rights as a tenant under state law and perhaps federal law, but long term you won't be there unless you work out a deal with the lender.