For the white plastic thing that screws into the underside of the hood to mount the light socket on? Here is a picture of it. The part the light socket connects to broke off.

 

Looking closer I remembered that the light works fine and that the socket piece the bulb plugs into is the one that is broken not that white piece. Still no name for it other than socket. Here is a picture. It comes apart into two pieces. The flat part there in the right piece is supposed to have two ears that slip over the rectangular part of the white shade screwed into the hood. EDIT- Just found a part number MOPAR 5093194AA out of stock on RA

 

Listed as a "Lamp, Underhood", part number is 4741498, and Shield, underhood lamp 56006867. Both of which are discontinued. (wow, big surprise there....)

 

Thank You
I found a part number MOPAR 5093194AA and there was a couple on eBay. I bought one for $20. It all looks to be right. Adding socket to the search helped find that part number and lots of pictures of the thing itself. There is a bunch of other newer style under hood lights but no reference if they would work on the existing dongle or if I would need a new one.

 

Car-part.com can be your friend as well.

 

BTW the 4741498 part number is right.