How can I give my mom full rights if I ever pass away and my daughter’s father can somewhat be responsible?

dher as the guardian of your child in your will or a on piece of paper that she can find when you die. That will give her the right to go to court and seek custody.

You can't. You can, in a will, nominate your mother as the child's guardian. If the father objects, the court will look at the situation and make a decision in the best interest of the child. The father will, by law, get the child, unless the court finds him to be unfit or finds that there has been so little contact that having him as the primary residential parent is not in the child's best interest.

All you can do is ask for her to be named guardian. However, if dad is alive and can provide a stable home, he will have the right to raise his daughter. If you will have money in an estate, you should consider putting it into trust and naming mom as trustee. That way dad won't have control over the funds. You really need to talk with a local attorney and have the documents prepared properly.

You can place a provision in Will that says what you want to say. However, a parent almost always has superior rights and it would be up to your mother to prove that your child would be better off with her than with the child's father.