Yes, you can sue any person who damages your personal property or who owes you money pursuant to some agreement (e.g. an agreement that she would pay a share of electric). If the grandchildren were minors and were visiting her or living with her (e.g. she brought them into the unit; was supervising and responsible for them), she is liable for any damage they did--though if the grandchildren were adults, you'd have to sue them personally for any damage they did.
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