Here's an answer from my friend Lance, WB5REX:
The catwhisker is the cathode. That is where they got the word "CAThode." It is from the "cat" part of the whisker! They figured that the CAT-ions had an affinity for the CAT-whisker. I never did figure out what kind of animal an "AN" was.
No...Not really!! Just kidding!
In actuality, I think the catwhisker is usually thought of as the cathode, but it can be either cathode, or anode, depending on whether the particular "Sweet Spot" on the galena is more "P" than "N", or vice versa. The galena has both "N" and "P" spots on its surface, depending on the distribution of impurities and the crystalline structure.