My opponent controls my Cooke’s Nighcap, and therefore the deed has 2 control points:
Cooke’s Nightcap
This deed has 2 control points while controlled by a player other than its owner.
I control The Orphanage, and boot it now for its ability:
The Orphanage
Controller Noon, Boot: All deeds with 2 or more control points have -1 control point and +2 production until after the next Upkeep phase.
Since Cooke’s now has 2 control points, it is affected by The Orphanage and has -1 control point and +2 production until after the next Upkeep phase.
If my opponent moves their dude away from Cooke’s Nightcap, it loses its 2 control points.
How much production does it have now? (printed value is 3)
If my opponent later in the turn moves a dude back to control it, does Cooke’s Nightcap have 2 control points, or 1?
How much production does it have now?