Thanks, Desolate.
I note that SetSelection isn't listed among the members in the Guide, though it does appear as an item in the pop-ups.
More seriously, it doesn't actually seem to do what I want (or anything, actually!) which is to ensure that if the user scrolls down to the bottom of a long list of items, then backs out, then returns with a short list, those few items will be immediately visible, rather than having disappeared off the top of the ListView.
So now I'm really puzzled!
John