Crystal behaving badly

Your circuit around the crystal is behaving correctly. The pin that you do not see a signal is being supplied by the crystal this a high impedance source, the CRO will load it down. If you are getting the correct frequency on the other (output) pin then all is well, this is a relatively low impedance output and is not loaded down.
To setup and make any A-D converter chip work requires a lot of setting up, I hope you have a suggested circuit from the IC applications data to work from.
Tom