Thanks for the responses, guys! The only place the "skin" overlaps the framework is on the bottom lip. The rest just appears to be spot welded every 3 or 4 inches.
I found a website where this guy is doing the same thing. There are other helpful pics for any of you guys working on 37's too. Stellar Antique Auto Restorations 1937 Ford Restoration

For example, here's the top edge of my "new" lid. You can see where the inner & outer are tacked together every few inches.
IMAG1292_1.jpg

Here are a couple of pics I swiped from the website above. Apparently, the framework can come out it one piece
removingframe2.jpg

In this primed pic, you can see where he apparently drilled out the spot welds along the edge.
repairedframe.jpg

Since this is a "restoration" he's going to install factory style insulation between the frame & lid. It looks like he may have repaired all the spot weld divots from the previous pic.
frameout.jpg

I'm wondering if he glued the frame back in instead of welding?
reunitingframe.jpg