The relationship of the parts in the top photo is roughly correct with top actually being top -- lucky shot!
The two slotted brackets on the rim of the bright bowl fit over the two headlight aiming adjuster screws at 9:00 & 12:00 on the black bowl. The spring runs from the hole in the bright bracket in the black bowl to the hole in the bright bowl at about 5:00.
The pop rivet holds the yellow cad plated bracket to the black bowl. I believe the rivet goes through the small hole in the black bowl near the rim at 5:00. Check this one out before riveting. The bracket will be where the tab in the bottom of your chrome trim ring locates as you snap the top of the ring on at the top of the black bowl.
Sorry I can't post a picture, but I don't have the right stuff to do that at this computer...
EDIT: By the way, Art, I'm going to assume you got the car with no headlamp buckets, and use this opportunity to advise all other restorers to NEVER throw anything away -- no matter how decrepit and rusted/rotted to bits it may appear -- until the new parts are ON THE CAR and PROVEN... If nothing else, they are often an aid in just this sort of situation.