If your DH's holiday allowance is okay, get back from your parents, have 3 or so days at home, drive to MIL's stay one night then come home.
Remind her repeatedly if necessary, your dd is not a doll, do it with a smile but let her know you mean it.
Tell her she has had her turn at being Mummy to your DH and any of his siblings, so now you are Mum to your dd.
For baths, say THE DOCTOR HAS TOLD ME TO
and I HAVE TO DO THIS ON MEDICAL ADVICE
For Clothing say THE DOCTOR HAS SAID ONLY COMFY SOFT CLOTHING
For washing, detergents etc. say THE DOCTOR SAYS IT HAS TO BE UNPERFUMED NON_BIO or whatever suits your dd's skin best to stop MIL giving you a pile of fredhly laundered stinky fabric conditionered laundry that will irritate dd's skin like crazy.
Other ways to stop her interfering, don't tell her in advance what you are planning to do.
Don't let her hold dd more then you are comfortable with, (excuse, heat can irritate eczema) make sure MIL's not wearing any wool clothes that could irritate dd's skin (and in sensitive cases no makeup that can rub off on dd's skin or perfume )
In the longer term, your DH needs to learn he has to support you and his child where his mum is concerned.