Old caregiver wants a reference, would you give them one?

My mom’s old care giver wants a job reference. I told my dad no. We had them for about two years. During that time they did what they wanted, always on their cell phone, brought their family drama in (that we did not want to hear), etc. It was something every day with her complaining about her husband. It was like pulling teeth with this person, she would complain about making food or light housework. It was not hard we, have a very small house. She broke several things, like our vacuum cleaner. I don’t know why she kept playing with it. She knows she broke it then she broke our weather monitor that we use for storms and stuff. She denied breaking those two things. I saw her break the vacuum cleaner she would sit there and play with it for an hour instead of watching my mom and then she would want to sit there and play with our weather monitor as well. I think she broke two other items in our house. I have always told my dad that she should’ve paid for our vacuum cleaner because it was very expensive. We still don’t know why she was sitting there playing with it until she broke it. She also stole a vacuum cleaner from my aunt’s and tried to pass it on saying it was ours. Would you give her a reference? I actually saw her break our vacuum. The look on her face because I caught her. I told my dad, she denied it. She all so took care of my aunt and broke a few things there too.