The universe is like the debris from the original blast. That debris has a temperature corresponding to how far it cooled down. Everything that has a temperature(motion) emits light that has a maximun wavelength, or frequency, according to that particular temp. The light they're looking at is the light that's emitted all over as a result of the universe having cooled down so far. When a particular photon was emitted usually isn't known, it's the maximum of the envelope of frequencies that's important.
Please look at my question this way: It's not your explanation, but my total befuddlement that is the problem. :-)