I believe Chevy had full steel tops in 36. It was a bragging point that fisher body had the presses big enough to stamp a full top. Ford accomplished the same feat in time for the 37 model year. Just my understanding, would appreciate any confirmation or otherwise.
Mart.
Ford had radio antenna connections in some cars to the wire netting that is installed over the bows. A heavy cloth is stretched over so padding can be laid down then the topping material goes over that. A trim piece is installed around the edge to hide the nails. I don't know if there are any You-Tube videos on coupe tops in that era but it wouldn't hurt to look.
The headliner is installed by use of listings to hold it to the bows on the inside. It's a job to do it all but there are many harder things to do on these old cars.