Rose doesn't want to travel with the Doctor after he regenerates, so he takes to going around alone until he meets one of Clara's echo's in a bar one night. She becomes his companion and they go on the adventures together, but it seems there may be more to Clara Oswald then even she realises.
Maybe Bellatrix loves her daughter, and Ara definitely loves her mum. But that doesn't change the fact that Harry Potter is a boy who doesn't deserve to die and love aside, Bellatrix is twisted and evil. Bellatrix daughter story but a bit different.
The Dursley's decided not to keep Harry when his parents die and send him to Gateshead Orphanage. The LeStrange's have a daughter who is sent to the same orphanage when they are sent to prison. The two grow up as best friends, them against the world which becomes a bit of a problem when they go to Hogwarts and both have to join their own worlds.
An idea I had for how Clara could have saved the Doctor once, and why he came back for Rose when she said she couldn't go with him.