Eva,
First of all what great pics of the family!!

Now....since you asked.

Your daughters priority is the baby daddy. Is he paying child support...does he have court ordered visitation? Time to tighten the vice on him with a smile on your face. He should not be at your door unless all his responsibilities to that child are in order....or he is making every attempt to do so. The same for your daughter.
You are going to have to be diabolical and that is needed now....be firm/nice ...explain later.
No...your daughter cannot move home. You don't need that drama...your daughter wants to come home because it is easier for the baby daddy to manipulator her when she is there ....HE wants her home.....because he is already manipulating you. OMG...EVA think what if she gets pregnant again???
How much of her money is she giving him...Is he isolating her...restricting her friends...how much older is he than her?

I do not feel that you will be effective in any change for your daughter until she can think and make decisions with out his influence. That job will be her lifeline for social and financial independence...praise....praise....praise her.
There will be another waitress that will give her a yank about life...that is a good thing.

The baby....just keep her behind the scenes....keep your voice light and full of love....smile....know love always prevails.

We are tons alike Eva....

sending Love and Light
HB