This all sounds quite familiar, did you post about a similar situation before?
Everyone will post the same response. No you are not being unreasonable or selfish, this is your child if you are uncomfortable about your m-i-law's ridiculous expectations, and they are, then you have to make that clear to her, in fact her son, your partner should be telling her. why isn't he?
The fact of the matter is you are not alone, these situations come up time and time again, more so on MN. Seeing a grandchild 5 times a week is an awful lot, excessive if, you the mother feel under pressure and stressed out on those occasions. It's only reasonable to leave a young grandchild, and at 18 months, she is not much more than a baby, overnight if both parties are happy with that, clearly you aren't and your judgement and feelings are paramount. As for her being rude to you, I'd just cut off contact for a while, she can't come into your house if you don't answer the door.
You are being bullied, once again get your partner to tell his mother to back off.
Good luck.