The story starts in a nursery of sorts, with a little girl. She lives in this room, with a window where she can see out into the stars. She has one friend, a robot, that takes care of her. She watches the stars, sings songs, makes things with a colorful plastic clay. But she only makes shapes, no animals, no people....because she has never seen either. But she is happy.
One day, I do not remember how or why, she finds a room that is full of embryos. They are babies being kept in stasis. Her robot friend tells her what they are and she decides that they need to be allowed to grow, promising that she will take care of them. Her robot friend has to consult with the other machines on what we discover is a space ship. They agree.
Through time and events I dont' remember we discover that the ship is the last of humanity, a colony ship, meant to find a home away from earth.
The babies are born and the girl cares for them. (they could have been children already....I'm not entirely sure. But they WERE all younger than her and in stasis)
They do find a planet to live on and the human race begins again.
I am not sure if this was a novel or a short story. I remember the book being rather thick paperback novel size but it could have been a collection. I want to say it was an Isaac Asimov book but I can't find anything by him that was like this. It was not a children or young adult book. I'm sure of that.
The focus of the story is the girl's relationship with her robot guardian and her becoming mother to a new race of humans.