That's up to you to decide. If u want the child fully immunized then relay that to mom. Say I feel most comfortable if all children in my care are up to date on all shots. If you are not comfortable with that then i will have to ask you to find another provider.
If your fine with just some of her shots then carry on. For me I require ALL shots to be up to date including chicken pox. So if this was my client I'd be telling her I am not comfortable with only some of the shots done and perhaps she needs to look for a provider who is comfortable with that.