Jaylor Song
Jaylor Song is the son of the Doctor and River Song after they had gotten married and just like Amy and Rory they while adventuring conceived with the TARDIS in flight in the time vortex a few months later after the first big event she remembered she helped stop the silence. A few months later specifically eleven months later they had given birth to their time lord son Jaylor Song. They raised him and found a way to let Amy and Rory know about their time grandchild with updates about him growing up and his education up to his graduation and keeping his name instead of taking a title. With all the knowledge Jaylor Song had gathered and amassed took a piece of TARDIS and his mother's vortex manipulator and went back in time to live with his grandparents in New York and he met with them in the 1930s and joined the police force as a journalistic investigator until the tardis piece grows into his own tardis knowing the things the Earth would go through woul# speed up the process ...