Middle name issues

My moms name is Elizabeth and that’s also my middle name. My mom really wants me to use that for my baby girls middle name as well, but it doesn’t go well with the first name my husband and I picked out. I want to use Elizabeth I think it would be cute to keep it in the family, but I don’t know how to make it go with the first name or if I shouldn’t use it at all 🤷🏻‍♀️. Are there other forms I could use or I’m not even sure ....