>I believe the problem is that I create cursors in the Data Environment BEFOREOPENTABLES code, which then don't get closed properly when the form exits.

How about using teh Load() event? Thats what the load event is actually for, to open the table you need before the controls start to init.

>Where do I need to put code to CLOSE these cursors so that they will always get closed properly:

Well, if its a private datasession they'll get closed automatically, otherwise, Unload or Destroy shoudl work.