Didn't the TARDIS call River a Tardis child or something like that? Because thanks to her (TARDIS) River became sort of a time lord...I think

In 'Let's Kill Hitler' the TARDIS showed her how to fly here so, I think so ...

yes, but it would be hard at the beginning, with both of them loving the Doctor ... but I'd like to see them together =)

We've seen multiple times how much the Tardis loves her daughter River and vice versa. River said she learned from the very best when it came to flying and we find out that's the TARDIS. I just talks about river as her last thing as she's dying in Rory's arms. River speaks in a we of how the tired is showed hurt had a pilot. Right before that and that's kill Hitler you can see Mel's being affected by the Tardis and standing at the door listening to her. Anytime River comes aboard and it's a new console the Tardis immediately gives her all the information on how to fly it. It's a shame we didn't see more of that. I would love River to see the tortoise in the Idris form. River is the only person the Tardis will forward calls to as we saw with the Pandora. She's also the only one the Tardis has ever directly called which was in the video game. If the Tardis didn't want Melody pond around then she wouldn't have been part of making Melody pond. The only thing I have never understood is why didn't the doctor and or the TARDIS give Melody a key or teacher how to snap her fingers. It makes no sense. Neither does the fact that River can't figure it out but Clara can as well as fly the TARDIS and all the other things she can do better than anybody.