How can I determine programmat​ically which plot the cursor is snapped to?

The waveform graph cursor legend shows name of plot currently snapped to (in snap to any plot mode), even as user moves cursor to different plot.  But there is no property to read this plot name!  Active Plot and Plot Name do not update as user drags cursor to different plots.  I'll try to cast the cursor reference to something useful while I wait for a response.

You cannot move the cursor from one plot to another unless it's single-plot (free and multiplot are the only other choices, and if it's free it doesn't snap, right?) mode AND the plot property is a "-1".  Try it.  I'm using probes and an event case in a while loop (but without a stop button and wait "statement"/primitive ).  That's how I know it's "-1", until I implemented the solution I mentioned above.
I reproduced your test code (complete with stop button and wait) and got the same results you did, as expected.  The problem with test code is it rarely does anything useful.  Try reproducing my case by putting a case structure in your test code wired to a "free" boolean; in the false case put a "1" wired out to a Cursor.CursorMode property and a "0" wired out to a Cursor.Plot property; in the true case put a "0" wired out to the Cursor.CursorMode prop and a "-1" wired out to the Cursor.Plot prop.  With "free" = False you won't be able to snap to any other plot; with "free" = True Cursor.Plot will, of course be a "-1", no matter where it is, since it is "free".  Bear in mind that I need to give the user the ability to select a plot, click a button, then change that plot's data by clicking and dragging the cursor (the data at the cursor's x coord changes to the the value of the cursor's y coord); when the user clicks the button to change back to the "don't change data, just select a plot" mode, the cursor needs to snap to its current location, which is the last changed data point of the plot that he just changed the data of.  If you can come up with an alternative solution to mine, I'd love to hear/see it!
But my real point, since I found a viable solution to the immediate problem, is that there is cursor information presented to the user in the cursor list box that I can't get at programmatically!  And this is info I could have used to solve my original problem!  I don't understand why NI wouldn't have made a property for it like they have for other, much less useful, bits of info.

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