Regrettably, as we have seen before, the incident is characterised by the two operators involved each trying to divert publicity to the other.
The Continental website immediately describes it as a Colgan Airwas flight, without mentioning Continental.
The Colgan Airways website meanwhile describes it as a Continental flight.
For the passenger it is bought on the CO website, a plane with a CO flight number, a CO livery, crew in CO uniforms, and with the CO magazine placed in the seats. I do find it disappointing that the whole operation is portrayed as the Continental brand until the moment something goes wrong, then it's "nothing to do with me" on an aspect of technicality only understood within the aviation world.