Assuming the question refers to a dream of the deceased father, it suggests that the dreamer feels confident that her father would approve of this boyfriend if her father were alive.
It means you are thinking about him
It most likely means you miss your father.
He's a responsible father
It means that your mind is using the image of your boyfriend's father as a symbol of something in your life. He might represent your own father, or some other type of authority figure. Or he might be a symbol of stability, security or, depending on the sort of person he is and on your emotions during the dream, he might represent the very opposite of these things. Note that the dream is about you and your own life. It does not provide any information about your boyfriend's father or about his thoughts, feelings or intentions.
This suggests that you hope to be accepted by your boyfriend's family, and that you will meet with their approval.
Go see a doctor
Well, congrats with the boyfriend! Since you are still underage (18) your mom is still your legal guardian. emancipation has a ton of paper work. Legally you are not emancipated, but in your own way, free.
The dream suggests that the mother might suspect, perhaps subconsciously, that the ex boyfriend is the father of the child.
Mother, if you mean wife of the deceased husband.
The question is somewhat unclear. If the dream involves an actual baby seen with its deceased grandfather, it probably expresses the dreamers belief that the grandfather would be delighted and proud of the grandchild.
He approves/has approved of the undertakings.
A dream about your deceased father dancing is a very good, positive dream. It means that your subconscious mind (your soul) knows that your father would have been proud of you, and that he is proud of you. In fact, the thought of you causes your father's spirit to dance for joy.