I think that is very reasonable already!
I think you should check if the place is child proof and safe.Important as your child will be there for like the whole day.
If you are ok with pets then its ok if not check if she has pets or not.
Ask about her experiences and chat about some recent articles on child abuse and stuff like that and see whats her response.dont't make it too serious just like casual chatting at the same time while you ask her questions.
Like that you can somehow or rather know her character and how she will treat your kid.
Does she have her own kids?
If possible can get references from her previous employer.
Ask about your child's meals and the daily activities she will be doing too