That is a great question, Clarence (@jagmkx). My wife and I are both retired C-141 pilots and it generated quite a bit of discussion between us. There are a lot of variables here.
First, if there is a direct mechanical linkage from the controls to the ailerons, they will deflect in the opposite direction. I flew T-37s for 8 years, and my wife flew T-41s for 4 years, both of which had mechanical linkages. Both have mechanical locks on the controls to prevent the controls from flapping in the wind.
The second case is an airplane that has hydraulic controls, where you have hydraulics that actually move the ailerons. When the plane is not powered, there isn't any hydraulic power to the ailerons. Most hydraulically-powered planes have control valves that trap the hydraulics when the power is off. This prevents the ailerons from banging around in a high wind and damaging themselves. Both of us remember going out to C-141s to preflight them and finding both ailerons deflected down an inch or so. This was probably due to aging valves and the like. When the ailerons were powered, they always moved in opposite directions.
A whole other question would be about differential deflection of ailerons, where the ailerons deflect up and down a different number of degrees. Also, if you ever deal with a delta wing, you start talking about elevons, which combine the ailerons and elevators, which is a whole different deal.
Anyway, back to your original question. You would need to find out about the system that powers the controls on the plane you are modeling. If it is mechanical, the ailerons should be deflected in opposite directions. If it is a hydraulic control-system, then it might be possible to droop down if they didn't have check valves. I usually don't want to learn that much about the planes I am building, so it is always safe to streamline the ailerons with the wings, and don't put them up or down.