Just gave this a try, so it should work for you.
1. Press and hold on the widget.
2. Drag it up to "Edit" zone at top left of screen (not the upper right "Remove" zone).
3. In list of names, press on the left icon to highlight a cross. (FYI - Press toward the right to and drag up or down to change position).
4. Press SAVE at bottom of screen to save your selections. Any names with the cross will be removed.
-Jim
P.S. Nice to see there is ability to resize the widget. Even if I don't use it, I like to see extra touches like that.