Possible to make a layer appear at mouse position?

I'm just getting started in AS and I'm struggling with a software simulation I'm building.

The software I'm simulating has context sensitive right click menus in many of its screens.  I'm trying to simulate that by having the right click menu (currently just another layer) show up on right click, but I can't figure out how to make it appear at the cursor position.   Is such a thing even possible?

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