I kept digging, and pretty much answered my own question, which is that if one obtains an Ecowitt GW1100 (...about US$30 on Amazon), that that little device can act as a gateway for the data from, at the very least, the console of the WS2000. Weather Display can then be set up to look at the GW1100 for data. So, I wasn't able to talk to the WS200 directly with Weather Display, but at least I do not have to go out to the internet in order to pull the data into Weather Display. Weather Display utilizes a cron job to poll the info at a given interval, which seems (by default) to be quicker than the native 16sec polling cycle of the WS2000.
Now, a bit more tinkering to get the separate temp-humidity sensor that is native to the WS2000 to display in WeatherDisplay - at the moment the software is seeing only the temp-humidity from the GW1100.