The NRO was not spun out from the CIA. It's a separate organization. The wikipedia article you link to suggests that it was not created as part of the CIA.
If you remove government budget from an NGO and it cease to exist, it was never really a non-government organization, it is technically a government organization.
I believe you've got confused between the NRO (National Reconnaissance Office) and NGO (Non-governmental Organisation). The NRO is very much part of the US government.