Lion: Querying the Desktop showing in Mission Control via Applescript?

This is a variation on the question I posted recently near the end of this thread: http://macscripter.net/viewtopic.php?id=30428

Is there any way in Lion via Applescript to query which Misson Control Desktop is currently showing on the screen?

If not, can this possibly done in ASOC? If so, I’ll repost my question in that forum.

Thanks in advance.